Article ID Journal Published Year Pages File Type
4640984 Journal of Computational and Applied Mathematics 2009 10 Pages PDF
Abstract

In this paper, an nn-species strongly coupled cooperating diffusive system is considered in a bounded smooth domain, subject to homogeneous Neumann boundary conditions. Employing the method of energy estimates, we obtain some conditions on the diffusion matrix and inter-specific cooperatives to ensure the global existence and uniform boundedness of a nonnegative solution. The globally asymptotical stability of the constant positive steady state is also discussed. As a consequence, all the results hold true for multi-species Lotka–Volterra type competition model and prey–predator model.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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