Special Session 23: New trends in pattern formations and dynamics for dissipative systems and related topics

Role of chemotaxis in some SIS PDE epidemic model with singular sensitivity
Yuan Lou
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    Rachidi Salako, Youshan Tao, Shenggao Zhou
Abstract:
We consider a repulsive chemotaxis SIS epidemic model with logarithmic sensitivity and mass-action transmission. The global existence and boundedness of smooth solutions to the corresponding no-flux initial boundary value problem in the spatially one-dimensional setting are established. Furthermore, the asymptotic analysis of the steady states reveal that the susceptible populations move to low-risk regions, whereas the infected individuals become spatially homogeneously distributed when the repulsive-taxis coefficient goes to infinity. This talk is based on joint work with R. Salako, Y.S. Tao and S.G. Zhou.