In this paper, we study a chemotaxis system involving two interacting species as follows: partial derivative u/partial derivative t = D(u)del.(u del(ln(u/Phi(x, t, w))) + f(x,t,u,v), partial derivative v/partial derivative t = D(v)Delta v + g(x, t, u, v), partial derivative w/partial derivative t = h(x, t, u, w), with some initial and boundary conditions. We prove the existence of solution to the problem whose behavior is concerned with referenc...
