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| In classical epidemiological models, the host population is divided into infected and
susceptible classes, with one differential equation representing each class in homogeneous environments. Anderson and May introduced an additional class representing the population of infectious pathogen particles in the environment. These particles are found in invertebrate
pathogens. Dwyer further proposed a mathematical disease model that includes two realistic complications: density-dependent host reproduction and host movement behavior. Then he studied the spatial spread of the PDE system. In the real world, a domain in which populations habitat is bounded, and this motivates us to study a host-pathogen model in a spatially bounded domain.
In this talk, the habitat we consider is a closed environment in the sense that the fluxes for each of these subpopulations are zero. Corresponding to this, we shall propose the Neumann boundary conditions to the equations on the boundary.
This is a joint work with Drs. Junping Shi and Xingfu Zou. |
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