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http://hdl.handle.net/11375/22600| Title: | Analysis of a Mathematical Model of a Three-Species Foodweb |
| Authors: | Fu, Wenjiang |
| Advisor: | Wolkowicz, G.S.K. |
| Department: | Mathematics |
| Keywords: | mathematical model, three-species foodweb, predators, prey, coexistence, bifurcation, orbit |
| Publication Date: | Sep-1991 |
| Abstract: | <p> A model of two predators competing for the same prey also involving predation interaction between the two predators is considered. Coexistence in forms of equilibria and periodic orbits is obtained by using bifurcation and dynamical systems theory. Global dynamics is obtained by studying the survival functions and persistence is obtained by using a theorem of Freedman and Waltman. Finally, numerical results for a specific example demonstrate the above. A Hopf bifurcation at the interior equilibrium and its unstable periodic orbit are observed.</p> |
| URI: | http://hdl.handle.net/11375/22600 |
| Appears in Collections: | Digitized Open Access Dissertations and Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Fu_Wenjiang_1991Sept_Masters..pdf | 2.45 MB | Adobe PDF | View/Open |
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