The steady-state positive solution of a predator-prey interacting system has been widely investigated in recent years. Since it had already been shown that the only possible positive solution must be constant under the Neumann homogeneous boundary condition, researchers naturally studied the physically important Dirichlet boundary condition problem. For years researchers have worked to obtain sufficient conditions for the existence of positive solutions of systems with quadratic nonlinearities. In this dissertation, we give necessary and sufficient conditions for more general predator-prey systems, under Dirichlet boundary conditions. Some uniqueness results are obtained in Sections 7 and 8. We also discuss the behavior of positive solutions on large regions / acase@tulane.edu
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_27050 |
| Date | January 1986 |
| Contributors | Li, Lige (Author) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Rights | Access requires a license to the Dissertations and Theses (ProQuest) database., Copyright is in accordance with U.S. Copyright law |
Page generated in 0.0015 seconds