Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640984 | Journal of Computational and Applied Mathematics | 2009 | 10 Pages |
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
Authors
Zijuan Wen, Shengmao Fu,