摘要 : In this paper, an initial boundary value problem with homogeneous Neumann boundary condition is studied for a reaction\diffusion system which models the spread of infectious diseases within two population groups by means of self a... 展开 In this paper, an initial boundary value problem with homogeneous Neumann boundary condition is studied for a reaction\diffusion system which models the spread of infectious diseases within two population groups by means of self and criss\cross infection mechanism. Existence, uniqueness and boundedness of the nonnegative global solution ( u\-1,u\-2,u\-3,u\-4) , existence of the limit of the solution as t→+∞ ,namely,( u\-1,u\-2,u\-3,u\-4)→(u\+*\-1,0,u\+*\-3,0), are proved. 收起