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. |
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