Global stability analysis of a ratio-dependent predator-prey system
| Autor: | Yan Liu, Mei-juan Wang, Tie-jun Lu |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Hopf bifurcation
Partial differential equation Applied Mathematics Mechanical Engineering Functional response Ratio dependent Stability (probability) symbols.namesake Exponential stability Mechanics of Materials Control theory Limit cycle symbols Quantitative Biology::Populations and Evolution Applied mathematics Mathematics Hyperbolic equilibrium point |
| Zdroj: | Applied Mathematics and Mechanics. 29:495-500 |
| ISSN: | 1573-2754 0253-4827 |
| DOI: | 10.1007/s10483-008-0407-y |
| Popis: | A ratio dependent predator-prey system with Holling type III functional response is considered. A sufficient condition of the global asymptotic stability for the positive equilibrium and existence of the limit cycle are given by studying locally asymptotic stability of the positive equilibrium. The condition under which positive equilibrium is not a hyperbolic equilibrium is investigated using Hopf bifurcation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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