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A Simple SIR Mathematical Model of Malaria Transmission with the Efficacy of the Vaccine

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成果类型:
期刊论文、会议论文
作者:
Rafia, Ghoul*;He, Jing;Sana, Djaidja;Ebrahim, As-Shareef
通讯作者:
Rafia, Ghoul
作者机构:
[He, Jing; Rafia, Ghoul] Hunan Univ, Coll Comp Sci & Elect Engn, Changsha, Hunan, Peoples R China.
[Sana, Djaidja] Fac Med Algiers Mohamed Maherzi Ex Laperine, Dept Med, Algiers, Algeria.
[Ebrahim, As-Shareef] Cent China Normal Univ, Dept Math, Wuhan, Hubei, Peoples R China.
通讯机构:
[Rafia, Ghoul] H
Hunan Univ, Coll Comp Sci & Elect Engn, Changsha, Hunan, Peoples R China.
语种:
英文
关键词:
Malaria disease;Congenital malaria;Vaccine efficacy;Vertical transmission;Basic reproduction number;Asymptotically stable
期刊:
ICCBB 2018: PROCEEDINGS OF THE 2018 2ND INTERNATIONAL CONFERENCE ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
年:
2018
页码:
6-11
会议名称:
2nd International Conference on Computational Biology and Bioinformatics (ICCBB)
会议论文集名称:
ICCBB 2018: Proceedings of the 2018 2nd International Conference on Computational Biology and Bioinformatics
会议时间:
OCT 11-13, 2018
会议地点:
Bari, ITALY
会议主办单位:
[Rafia, Ghoul;He, Jing] Hunan Univ, Coll Comp Sci & Elect Engn, Changsha, Hunan, Peoples R China.^[Sana, Djaidja] Fac Med Algiers Mohamed Maherzi Ex Laperine, Dept Med, Algiers, Algeria.^[Ebrahim, As-Shareef] Cent China Normal Univ, Dept Math, Wuhan, Hubei, Peoples R China.
出版地:
1515 BROADWAY, NEW YORK, NY 10036-9998 USA
出版者:
ASSOC COMPUTING MACHINERY
ISBN:
978-1-4503-6552-9
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61775054, 61307079]; Science and Technology Project of Hunan Province [2016GK2011]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
The main objective of this paper is to analyze dynamics of malaria disease transmission for the human and mosquito populations, by including the impact of malaria transmission from mother to baby before or during birth (vertical transmission) and investigating the effects of malaria vaccine to the human population. The appropriate model divides the human population into three classes and the mosquito population into two classes. The obtained 5-dimensional nonlinear system incorporates and includes the infection newborn and the impact of the vaccine. The study shows that the disease-free equili...

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