Hai-Long Yuan

Bifurcation and Spatiotemporal Patterns of a Diffusive SI Epidemic Model

This paper studies an SI spatio-temporal model with homogeneous Neumann boundary conditions. First, the nonexistence of nonconstant positive steady states is proved by the energy method. Second, a priori estimate of nonconstant positive solutions is given, and the existence of nonconstant positive steady states is prov...