| Abstract: | In this paper, an initial boundary value problem with homogenous 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, u2, u3, u4) existence of the limit of the solution as t→+∞, namely, (u 1, u2, u3, u4)→(u 1 * , 0, u 3 * , 0), are proved. Research supported by the National Natural Science Foundation of China (19671005) |
