| Article ID: | iaor2002753 |
| Country: | India |
| Volume: | 31 |
| Issue: | 7 |
| Start Page Number: | 823 |
| End Page Number: | 837 |
| Publication Date: | Jul 2000 |
| Journal: | Indian Journal of Pure and Applied Mathematics |
| Authors: | Dubey B., Das B. |
| Keywords: | differential equations |
In this paper, a mathematical model based on the dynamics of Gause-type model with diffusion is proposed and analyzed. We consider a resource based ecological model where two predators are competing with interference for a limited prey. Criteria for local stability, instability and global stability are obtained in the absence of diffusion. It is shown that, in the absence of intraspecific interaction of the predator species, the interior equilibrium becomes unstable. It is also shown that an unstable equilibrium state may be stabilized by increasing diffusion coefficients appropriately.