Space Structures of Some Migrating Populations
The most primitive mathematical models of ecology describe populations as space-homogeneous entities; or, equivalently, space-averages rather than the spatial structure of the populations are taken into account. In recent years, several efforts have been made to overcome such a simplified representation: in particular by trying to provide a mathematical description of segregation effects, by which, in the long run, different populations occupy different sub-areas. Among the resulting mathematical models, we shall focus here on those involving quasilinear (or semilinear) parabolic systems, i.e., systems of partial differential equations describing the time course of communities subject both to kinetic interaction and to linear (respectively, nonlinear) diffusion.
KeywordsHomogeneous Boundary Condition Kinetic System Neumann Homogeneous Boundary Condition Uniform Steady State General Kinetic
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