Stability and bifurcation in two species predator–prey models
| Autor: | Orhan Ozgur Aybar, I. Kusbeyzi, Avadis Hacinliyan |
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| Rok vydání: | 2011 |
| Předmět: |
Hopf bifurcation
Applied Mathematics General Engineering Saddle-node bifurcation General Medicine Bifurcation diagram Biological applications of bifurcation theory Competitive Lotka–Volterra equations Computational Mathematics symbols.namesake Transcritical bifurcation Bifurcation theory Control theory symbols Applied mathematics General Economics Econometrics and Finance Analysis Bifurcation Mathematics |
| Zdroj: | Nonlinear Analysis: Real World Applications. 12:377-387 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2010.06.023 |
| Popis: | Changes in the number and stability of equilibrium points in the Lotka–Volterra model as well as some of its generalizations that lead to qualitative changes in the behavior of the system as a function of some of its parameters are studied by bifurcation analysis. A generalization involving a cubic interaction as proposed by Nutku is shown to change the stability properties in a simple way and in particular cases introduce additional stability. Numerical methods and the approach provided by approximate techniques near equilibrium points are used in the analysis. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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