期刊：
Journal of Mathematical Biology,2024年88(4):1-30 ISSN：0303-6812
通讯作者：
Min Lu
作者机构：
[Jicai Huang; Qin Pan] School of Mathematics and Statistics, and Key Lab NAA-MOE, Central China Normal University, Wuhan, 430079, China;[Min Lu] School of Mathematics and Statistics, and Key Lab NAA-MOE, Central China Normal University, Wuhan, 430079, China. lumin@mails.ccnu.edu.cn;[Shigui Ruan] Department of Mathematics, University of Miami, Coral Gables, FL, 33146, USA
通讯机构：
[Min Lu] S;School of Mathematics and Statistics, and Key Lab NAA-MOE, Central China Normal University, Wuhan, China
关键词：
Bogdanov–Takens bifurcation;Harvesting;Holling I functional response;Hopf bifurcation;Krill–whale interaction;Predator–prey model
摘要：
In the Antarctic, the whale population had been reduced dramatically due to the unregulated whaling. It was expected that Antarctic krill, the main prey of whales, would grow significantly as a consequence and exploratory krill fishing was practiced in some areas. However, it was found that there has been a substantial decline in abundance of krill since the end of whaling, which is the phenomenon of krill paradox. In this paper, to study the krill–whale interaction we revisit a harvested predator–prey model with Holling I functional response. We find that the model admits at most two positive equilibria. When the two positive equilibria are located in the region
$$\big \{(N,P)|0\le N< 2N_c,\ P\ge 0\big \}$$
, the model exhibits degenerate Bogdanov–Takens bifurcation with codimension up to 3 and Hopf bifurcation with codimension up to 2 by rigorous bifurcation analysis. When the two positive equilibria are located in the region
$$\big \{(N,P)|N>2N_c,\ P\ge 0\big \}$$
, the model has no complex bifurcation phenomenon. When there is one positive equilibrium on each side of
$$N=2N_c$$
, the model undergoes Hopf bifurcation with codimension up to 2. Moreover, numerical simulation reveals that the model not only can exhibit the krill paradox phenomenon but also has three limit cycles, with the outmost one crosses the line
$$N=2N_c$$
under some specific parameter conditions.
期刊：
BRITISH JOURNAL OF PSYCHOLOGY,2024年115(1):66-89 ISSN：0007-1269
通讯作者：
Zhang, Y
作者机构：
[Li, Hao; Zhang, Ying; Chen, Gaowei] Univ Hong Kong, Fac Educ, Hong Kong, Peoples R China.;[Li, Bo; Li, Na] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.;[Zhou, Xin] Sichuan Univ, Middle Sch, Chengdu, Peoples R China.;[Zhang, Ying; Zhang, Y] Univ Hong Kong, Fac Educ, Pokfulam, Hong Kong, Peoples R China.
通讯机构：
[Zhang, Y ] U;Univ Hong Kong, Fac Educ, Pokfulam, Hong Kong, Peoples R China.
摘要：
Bullying victimization can undermine adolescents' well-being. However, few studies have comprehensively investigated the contributions of various victimization forms to well-being and compared which forms were more harmful than others. Evidence on whether resilience and social support moderate such associations is also limited. Using a sample of 12,058 Chinese adolescents in the Programme for International Student Assessment (PISA) 2018, this cross-sectional study aimed to (1) investigate the associations of physical, verbal and relational victimization with well-being; (2) compare the strengths of these associations; and (3) examine the moderating roles of resilience and teacher and parent support in these associations. Results showed that three victimization forms were associated with poorer well-being. Relational and physical victimization were more harmful to most studied well-being outcomes than verbal victimization. Furthermore, resilience weakened the negative effects of physical victimization on negative affect and life satisfaction but aggravated the negative effects of verbal victimization on both outcomes and the negative effect of relational victimization on school belonging. Teacher support intensified the negative effects of physical victimization on school belonging. Parent support was not effective in regulating the victimization-well-being association. The findings underscored the detrimental effects of bullying victimization on adolescents' well-being and the potentially harmful sides of resilience and social support. Implications for bullying prevention were discussed.
期刊：
Journal of Mathematical Biology,2023年86(6):1-45 ISSN：0303-6812
通讯作者：
Huang, JC;Wang, H
作者机构：
[Zhang, Yuyue; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.;[Zhang, Yuyue; Huang, Jicai] Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.;[Wang, Hao] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.;[Wang, Hao] Univ Alberta, Interdisciplinary Lab Math Ecol & Epidemiol, Edmonton, AB T6G 2G1, Canada.
通讯机构：
[Wang, H ] U;[Huang, JC ] C;Cent China Normal Univ, Sch Math & Stat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.;Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.;Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.
关键词：
Degenerate Bogdanov–Takens bifurcation;Generalist predator;Nilpotent cusp of codimension 4;Nilpotent focus of codimension 3;Predator–prey model;Specialist predator
摘要：
In this paper, we revisit a predator-prey model with specialist and generalist predators proposed by Hanski et al. (J Anim Ecol 60:353-367, 1991) , where the density of generalist predators is assumed to be a constant. It is shown that the model admits a nilpotent cusp of codimension 4 or a nilpotent focus of codimension 3 for different parameter values. As the parameters vary, the model can undergo cusp type (or focus type) degenerate Bogdanov-Takens bifurcations of codimension 4 (or 3). Our results indicate that generalist predation can induce more complex dynamical behaviors and bifurcation phenomena, such as three small-amplitude limit cycles enclosing one equilibrium, one or two large-amplitude limit cycles enclosing one or three equilibria, three limit cycles appearing in a Hopf bifurcation of codimension 3 and dying in a homoclinic bifurcation of codimension 3. In addition, we show that generalist predation stabilizes the limit cycle driven by specialist predators to a stable equilibrium, which clearly explains the famous Fennoscandia phenomenon.
期刊：
BMC PUBLIC HEALTH,2023年23(1):1-10 ISSN：1471-2458
通讯作者：
Wang, N.;Xu, T.
作者机构：
[Li, Lin] Natl Res Inst Family Planning, Clin Med Ctr, Beijing, Peoples R China.;[Xu, Tao; Chen, Feilong] Chinese Acad Med Sci, Inst Basic Med Sci, Dept Epidemiol & Biostat, Beijing, Peoples R China.;[Xu, Tao; Chen, Feilong] Peking Union Med Coll, Sch Basic Med, Beijing, Peoples R China.;[Wang, Ning; Gao, Yiyuan; Li, Xiaoyan] Natl Res Inst Family Planning, Ctr Hlth Qual, Beijing, Peoples R China.;[Diao, Xiyezi; Zhu, Silin] Cent China Normal Univ, Dept Stat, Wuhan, Hubei, Peoples R China.
通讯机构：
[Ning Wang] C;[Tao Xu] D;Center for Health Quality, National Research Institute for Family Planning, Beijing, China<&wdkj&>Department of Epidemiology and Biostatistics Institute of Basic Medical Sciences, Chinese Academy of Medical Sciences & School of Basic Medicine, Peking Union Medical College, Beijing, China
关键词：
The elderly;Calf circumference;Incontinence;Sarcopenia;Risk factor
期刊：
IEEE JOURNAL OF BIOMEDICAL AND HEALTH INFORMATICS,2023年27(6):3061-3071 ISSN：2168-2194
通讯作者：
Zhao, Weizhong;Shen, XJ
作者机构：
[Shen, Xianjun; Wang, Haodong; Wang, Yue; Zhao, Weizhong; Zhao, WZ; Shen, XJ; Jiang, Xingpeng; Li, Dandan] Cent China Normal Univ, Sch Comp, Hubei Prov Key Lab Artificial Intelligence & Smart, Wuhan 430079, Peoples R China.;[Sun, Han] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Shen, Xianjun; Wang, Haodong; Wang, Yue; Zhao, Weizhong; Zhao, WZ; Shen, XJ; Jiang, Xingpeng; Li, Dandan] Cent China Normal Univ, Natl Language Resources Monitoring & Res Ctr Netwo, Wuhan 430079, Peoples R China.
通讯机构：
[Zhao, WZ; Shen, XJ ] C;Cent China Normal Univ, Sch Comp, Hubei Prov Key Lab Artificial Intelligence & Smart, Wuhan 430079, Peoples R China.;Cent China Normal Univ, Natl Language Resources Monitoring & Res Ctr Netwo, Wuhan 430079, Peoples R China.
关键词：
graph representation learning;heterogeneous information network;multi-head attention mechanism;Phage-host interactions prediction
摘要：
In the treatment of bacterial infectious diseases, overuse of antibiotics may lead to not only bacterial resistance to antibiotics but also dysbiosis of beneficial bacteria which are essential for maintaining normal human life activities. Instead, phage therapy, which invades and lyses specific pathogenic bacteria without affecting beneficial bacteria, becomes more and more popular to treat bacterial infectious diseases. For the effective phage therapy, it requires to accurately predict potential phage-host interactions from heterogeneous information network consisting of bacteria and phages. Although many models have been proposed for predicting phage-host interactions, most methods fail to consider fully the sparsity and unconnectedness of phage-host heterogeneous information network, deriving the undesirable performance on phage-host interactions prediction. To address the challenge, we propose an effective model called GERMAN-PHI for predicting Phage-Host Interactions via Graph Embedding Representation learning with Multi-head Attention mechaNism. In GERMAN-PHI, the multi-head attention mechanism is utilized to learn representations of phages and hosts from multiple perspectives of phage-host associations, addressing the sparsity and unconnectedness in phage-host heterogeneous information network. More specifically, a module of GAT with talking-heads is employed to learn representations of phages and bacteria, on which neural induction matrix completion is conducted to reconstruct the phage-host association matrix. Results of comprehensive experiments demonstrate that GERMAN-PHI performs better than the state-of-the-art methods on phage-host interactions prediction. In addition, results of case study for two high-risk human pathogens show that GERMAN-PHI can predict validated phages with high accuracy, and some potential or new associated phages are provided as well.
作者机构：
[Zhang, Xiao-Fei; Xiong, Yi-Xuan; Wang, Meng-Guo] School of Mathematics and Statistics, Central China Normal University, Wuhan, China;[Zhang, Xiao-Fei; Xiong, Yi-Xuan; Wang, Meng-Guo] Key Laboratory of Nonlinear Analysis & Applications (Ministry of Education), Central China Normal University, Wuhan, China;[Chen, Luonan] State Key Laboratory of Cell Biology, Shanghai Institute of Biochemistry and Cell Biology, Center for Excellence in Molecular Cell Science, Chinese Academy of Sciences, Shanghai, China;[Chen, Luonan] School of Life Science and Technology, ShanghaiTech University, Shanghai, China;[Chen, Luonan] Key Laboratory of Systems Health Science of Zhejiang Province, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Chinese Academy of Sciences, Hangzhou, China
摘要：
The recent advances in single-cell RNA sequencing (scRNA-seq) techniques have stimulated efforts to identify and characterize the cellular composition of complex tissues. With the advent of various sequencing techniques, automated cell-type annotation using a well-annotated scRNA-seq reference becomes popular. But it relies on the diversity of cell types in the reference, which may not capture all the cell types present in the query data of interest. There are generally unseen cell types in the query data of interest because most data atlases are obtained for different purposes and techniques. Identifying previously unseen cell types is essential for improving annotation accuracy and uncovering novel biological discoveries. To address this challenge, we propose mtANN (multiple-reference-based scRNA-seq data annotation), a new method to automatically annotate query data while accurately identifying unseen cell types with the aid of multiple references. Key innovations of mtANN include the integration of deep learning and ensemble learning to improve prediction accuracy, and the introduction of a new metric that considers three complementary aspects to distinguish between unseen cell types and shared cell types. Additionally, we provide a data-driven method to adaptively select a threshold for identifying previously unseen cell types. We demonstrate the advantages of mtANN over state-of-the-art methods for unseen cell-type identification and cell-type annotation on two benchmark dataset collections, as well as its predictive power on a collection of COVID-19 datasets. The source code and tutorial are available at https://github.com/Zhangxf-ccnu/mtANN.
期刊：
Journal of Mathematical Biology,2023年86(4):1-35 ISSN：0303-6812
通讯作者：
Jicai Huang<&wdkj&>Hao Wang
作者机构：
[Lu, Min; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Lu, Min; Huang, Jicai] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.;[Gao, Daozhou] Cleveland State Univ, Dept Math, Cleveland, OH 44115 USA.;[Gao, Daozhou] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China.;[Wang, Hao] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.
通讯机构：
[Jicai Huang] S;[Hao Wang] D;School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, People’s Republic of China<&wdkj&>Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
摘要：
In this paper, we propose a two-patch SIRS model with a nonlinear incidence rate:
$$\beta _i(1+\nu _iI_i)I_i S_i$$
and nonconstant dispersal rates, where the dispersal rates of susceptible and recovered individuals depend on the relative disease prevalence in two patches. In an isolated environment, the model admits Bogdanov–Takens bifurcation of codimension 3 (cusp case) and Hopf bifurcation of codimension up to 2 as the parameters vary, and exhibits rich dynamics such as multiple coexistent steady states and periodic orbits, homoclinic orbits and multitype bistability. The long-term dynamics can be classified in terms of the infection rates
$$\beta _i$$
(due to single contact) and
$$\nu _i$$
(due to double exposures). In a connected environment, we establish a threshold
$$R_0=1$$
between disease extinction and uniform persistence under certain conditions. We numerically explore the effect of population dispersal on disease spread when
$$\nu _i=0$$
and patch 1 has a lower infection rate, our results indicate: (i)
$$R_0$$
can be nonmonotonic in dispersal rates and
$$R_0\le \max \limits \{R_{01},R_{02}\}$$
(
$$R_{0i}$$
is the basic reproduction number of patch i) may fail; (ii) the constant dispersal of susceptible individuals (or infective individuals) between two patches (or from patch 2 to patch 1) will increase (or reduce) the overall disease prevalence; (iii) the relative prevalence-based dispersal may reduce the overall disease prevalence. When
$$\nu _i>0$$
and the disease outbreaks periodically in each isolated patch, we find that: (a) small unidirectional and constant dispersal can lead to complex periodic patterns like relaxation oscillations or mixed-mode oscillations, whereas large ones can make the disease go extinct in one patch and persist in the form of a positive steady state or a periodic solution in the other patch; (b) relative prevalence-based and unidirectional dispersal can make periodic outbreak earlier.
作者机构：
[Zhang, Xiao-Fei; Yang, Shi-Tong] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.;[Zhang, Xiao-Fei; Yang, Shi-Tong] Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan, Peoples R China.
通讯机构：
[Zhang, XF ] C;Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.;Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan, Peoples R China.
摘要：
Imaging-based spatial transcriptomics techniques provide valuable spatial and gene expression information at single-cell resolution. However, their current capability is restricted to profiling a limited number of genes per sample, resulting in most of the transcriptome remaining unmeasured. To overcome this challenge, we develop ENGEP, an ensemble learning-based tool that predicts unmeasured gene expression in spatial transcriptomics data by using multiple single-cell RNA sequencing datasets as references. ENGEP outperforms current state-of-the-art tools and brings biological insight by accurately predicting unmeasured genes. ENGEP has exceptional efficiency in terms of runtime and memory usage, making it scalable for analyzing large datasets.
期刊：
BRIEFINGS IN BIOINFORMATICS,2023年24(2) ISSN：1467-5463
通讯作者：
Xingpeng Jiang
作者机构：
[Wang, Haodong; Wang, Yue; Xiao, Zhen; Huang, Xiaoyun; He, Tingting; Jiang, Xingpeng; Sun, Han] Hubei Provincial Key Laboratory of Artificial Intelligence and Smart Learning, Central China Normal University, Wuhan 430079, China;[Wang, Haodong; Wang, Yue; Xiao, Zhen; Huang, Xiaoyun; He, Tingting; Jiang, Xingpeng; Sun, Han] School of Computer Science, Central China Normal University, Wuhan 430079, China;[Xiao, Zhen; Sun, Han] School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China;[Huang, Xiaoyun] Collaborative & Innovative Center for Educational Technology, Central China Normal University, Wuhan 430079, China;[He, Tingting; Jiang, Xingpeng] National Language Resources Monitoring & Research Center for Network Media, Central China Normal University, Wuhan 430079, China
通讯机构：
[Xingpeng Jiang] H;Hubei Provincial Key Laboratory of Artificial Intelligence and Smart Learning, Central China Normal University , Wuhan 430079 , China<&wdkj&>School of Computer Science, Central China Normal University , Wuhan 430079 , China<&wdkj&>National Language Resources Monitoring & Research Center for Network Media, Central China Normal University , Wuhan 430079 , China
关键词：
Kernel machine regression;Microbiome-based association test;Multinomial logit model;Ordinal/Nominal multicategory phenotypes
摘要：
Microbes can affect the metabolism and immunity of human body incessantly, and the dysbiosis of human microbiome drives not only the occurrence but also the progression of disease (i.e. multiple statuses of disease). Recently, microbiome-based association tests have been widely developed to detect the association between the microbiome and host phenotype. However, the existing methods have not achieved satisfactory performance in testing the association between the microbiome and ordinal/nominal multicategory phenotypes (e.g. disease severity and tumor subtype). In this paper, we propose an optimal microbiome-based association test for multicategory phenotypes, namely, multiMiAT. Specifically, under the multinomial logit model framework, we first introduce a microbiome regression-based kernel association test for multicategory phenotypes (multiMiRKAT). As a data-driven optimal test, multiMiAT then integrates multiMiRKAT, score test and MiRKAT-MC to maintain excellent performance in diverse association patterns. Massive simulation experiments prove the success of our method. Furthermore, multiMiAT is also applied to real microbiome data experiments to detect the association between the gut microbiome and clinical statuses of colorectal cancer as well as for diverse statuses of Clostridium difficile infections.
期刊：
Journal of Mathematical Biology,2022年85(3):1-39 ISSN：0303-6812
通讯作者：
Jicai Huang<&wdkj&>Hao Wang
作者机构：
[Huang, Jicai; Pan, Qin] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Wang, Hao] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.
通讯机构：
[Jicai Huang] S;[Hao Wang] D;School of Mathematics and Statistics, Central China Normal University, Wuhan, People’s Republic of China<&wdkj&>Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
摘要：
Nonmonotone incidence and saturated treatment are incorporated into an SIRS model under constant and changing environments. The nonmonotone incidence rate describes the psychological or inhibitory effect: when the number of the infected individuals exceeds a certain level, the infection function decreases. The saturated treatment function describes the effect of infected individuals being delayed for treatment due to the limitation of medical resources. In a constant environment, the model undergoes a sequence of bifurcations including backward bifurcation, degenerate Bogdanov-Takens bifurcation of codimension 3, degenerate Hopf bifurcation as the parameters vary, and the model exhibits rich dynamics such as bistability, tristability, multiple periodic orbits, and homoclinic orbits. Moreover, we provide some sufficient conditions to guarantee the global asymptotical stability of the disease-free equilibrium or the unique positive equilibrium. Our results indicate that there exist three critical values
$$r_1, r_2$$
and
$$r_3$$
for the treatment rate r: (i) when
$$r\ge \max \{r_1, r_2\}$$
, the disease will disappear; (ii) when
$$r<\min \{r_1, r_3\}$$
, the disease will persist. In a changing environment, the infective population starts along the stable disease-free state (or an endemic state) and surprisingly continues tracking the unstable disease-free state (or a limit cycle) when the system crosses a bifurcation point, and eventually tends to the stable endemic state (or the stable disease-free state). This transient tracking of the unstable disease-free state when
$${\mathscr {R}}_0>1$$
predicts regime shifts that cause the delayed disease outbreak in a changing environment. Furthermore, the disease can disappear in advance (or belatedly) if the rate of environmental change is negative and large (or small). The transient dynamics of an infectious disease heavily depend on the initial infection number and rate or the speed of environmental change.
作者机构：
[Wang, Chaofan] Capital Med Univ, Sch Publ Hlth, Beijing 100069, Peoples R China.;[Xiong, Kewei] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Xiong, Kewei] Cent China Normal Univ, Sch Math & Stat, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China.
通讯机构：
[Xiong, K.] S;School of Mathematics and Statistics, #152 Luoyu Road, Hongshan District, Hubei Province, China
期刊：
Journal of Biological Dynamics,2021年15(1):177-194 ISSN：1751-3758
通讯作者：
Huang, Jicai;Zou, Lan
作者机构：
[Zhang, Xinan; Lu, Min; Huang, Jicai; Shu, Yaqin] Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China.;[Ruan, Shigui] Univ Miami, Dept Math, Coral Gables, FL 33124 USA.;[Zou, Lan] Sichuan Univ, Sch Math, Chengdu, Sichuan, Peoples R China.;[Shu, Yaqin] Guangzhou 75 Middle Sch, Guangzhou, Peoples R China.
通讯机构：
[Huang, Jicai] C;[Zou, Lan] S;Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China.;Sichuan Univ, Sch Math, Chengdu, Sichuan, Peoples R China.
关键词：
Hepatitis B virus;heterosexual transmission;homosexual transmission;mathematical modelling;basic reproduction number;sensitivity analysis
摘要：
Studies have shown that sexual transmission, both heterosexually and homosexually, is one of the main ways of HBV infection. Based on this fact, we propose a mathematical model to study the sexual transmission of HBV among adults by classifying adults into men and women and considering both same-sex and opposite-sex transmissions of HBV in adults. Firstly, we calculate the basic reproduction number R0 and the disease-free equilibrium point E0. Secondly, by analysing the sensitivity of R0 in terms of model parameters, we find that the infection rate among people who have same-sex partners, the frequency of homosexual contact and the immunity rate of adults play important roles in the transmission of HBV. Moreover, we use our model to fit the reported data in China and forecast the trend of hepatitis B. Our results demonstrate that popularizing the basic knowledge of HBV among residents, advocating healthy and reasonable sexual life style, reducing the number of adult carriers, and increasing the immunization rate of adults are effective measures to prevent and control hepatitis B.
期刊：
MATHEMATICAL BIOSCIENCES AND ENGINEERING,2019年16(2):881-897 ISSN：1547-1063
通讯作者：
Zhang, Xinan
作者机构：
[Zhang, Xinan; Yuan, Ruixia; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Gao, Shujing] Gannan Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Peoples R China.
通讯机构：
[Zhang, Xinan] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
关键词：
* Clonorchiasis;* basic reproductive number;* global asymptotical stability
摘要：
In this paper, we have set up a mathematical model on the basic life cycle of clonorchiasis to fit the data of human clonorchiasis infection ratios of Guangzhou City of Guangdong Province in China from 2006-2012. By this model, we have proved that the condition of the basic reproductive number R(0)>1 or R(0)<1 corresponds the globally asymptotically stable of the endemic equilibrium or the disease-free equilibrium, respectively. The basic reproductive number is estimated as 1.41 with those optimal parameters. Some efficient strategies to control clonorchiasis are provided by numerical analysis of the mathematical model.
期刊：
Computational Biology and Chemistry,2019年80:111-120 ISSN：1476-9271
通讯作者：
Tian, Tianhai
作者机构：
[Wei, Jiangyong] Zhongrian Univ Econ & Law, Sch Stat & Math, Wuhan, Hubei, Peoples R China.;[Zhou, Tianshou] Sun Yat Sen Univ, Sch Math & Stat, Guangzhou, Guangdong, Peoples R China.;[Zhang, Xinan] Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China.;[Tian, Tianhai] Monash Univ, Sch Math Sci, Melbourne, Vic 3800, Australia.
期刊：
Lifetime Data Analysis,2018年24(1):94-109 ISSN：1380-7870
通讯作者：
Sun, Jianguo
作者机构：
[Xu, Da; Sun, Jianguo] Jilin Univ, Sch Math, Ctr Appl Stat Res, Changchun 130012, Jilin, Peoples R China.;[Zhao, Hui] Cent China Normal Univ, Dept Stat, Wuhan 430079, Hubei, Peoples R China.;[Sun, Jianguo] Univ Missouri, Dept Stat, Columbia, MO 65211 USA.
通讯机构：
[Sun, Jianguo] J;[Sun, Jianguo] U;Jilin Univ, Sch Math, Ctr Appl Stat Res, Changchun 130012, Jilin, Peoples R China.;Univ Missouri, Dept Stat, Columbia, MO 65211 USA.
关键词：
Bernstein polynomial;Event history study;Frailty model;Sieve maximum likelihood estimation
摘要：
Interval-censored failure time data and panel count data are two types of incomplete data that commonly occur in event history studies and many methods have been developed for their analysis separately (Sun in The statistical analysis of interval-censored failure time data. Springer, New York, 2006; Sun and Zhao in The statistical analysis of panel count data. Springer, New York, 2013). Sometimes one may be interested in or need to conduct their joint analysis such as in the clinical trials with composite endpoints, for which it does not seem to exist an established approach in the literature. In this paper, a sieve maximum likelihood approach is developed for the joint analysis and in the proposed method, Bernstein polynomials are used to approximate unknown functions. The asymptotic properties of the resulting estimators are established and in particular, the proposed estimators of regression parameters are shown to be semiparametrically efficient. In addition, an extensive simulation study was conducted and the proposed method is applied to a set of real data arising from a skin cancer study.
作者机构：
[Yin, Hongyan; Yin, HY; Yang, Cuihong; Zhang, Xin'an] Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China.;[Yin, Hongyan] South Cent Univ Nationalities, Sch Math & Stat, Wuhan, Hubei, Peoples R China.;[Li, Jia] Univ Alabama Huntsville, Dept Math Sci, Huntsville, AL 35899 USA.
通讯机构：
[Yin, HY; Yang, CH; Zhang, XA] C;[Yin, Hongyan] S;[Li, Jia] U;Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China.;South Cent Univ Nationalities, Sch Math & Stat, Wuhan, Hubei, Peoples R China.
摘要：
Measles, a highly contagious infection caused by the measles virus, is a major public health problem in China. The reported measles cases decreased dramatically from 2004 to 2012 due to the mandatory measles vaccine program started in 2005 and the goal of eliminating measles by 2012. However, after reaching its lowest level in 2012, measles has resurged again since 2013. Since the monthly data of measles cases exhibit a seasonally fluctuating pattern, based on the measles model in Earn et al. (Science 287: 667-670, 2000), we propose a susceptible, exposed, infectious, and recovered model with periodic transmission rate to investigate the seasonal measles epidemics and the effect of vaccination. We calculate the basic reproduction number R-0, analyze the dynamical behavior of the model, and use the model to simulate the monthly data of measles cases reported in China. We also carry out some sensitivity analysis of R-0 in the terms of various model parameters which shows that measles can be controlled and eventually eradicated by increasing the immunization rate, improving the effective vaccine management, and enhancing the awareness of people about measles.
