Coexistence in a simple food chain with diffusion
The global existence of classical positive solutions of a system of diffusion equations coupled in a linear tridiagonal manner by a source term and subject to linear mixed boundary conditions is shown. The coexistent states of the elliptic problem subject to homogeneous boundary conditions are investigated. Results are discussed in the context of a simple food chain --- plant, herbivore and carnivore populations.
global existence of classical positive solutions
scientific article; zbMATH DE number 63997