Stability Analysis of Equilibrium Manifolds for a Two-Predators One-Prey Model |
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Authors: | ZHANG Xin TANG Yun Rudolf Scherer |
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Affiliation: | 1.Rudolf Scherert Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; 2. Institute of Practical Mathematics, University of Karisruhe, D-76128 Karisruhe, Germany |
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Abstract: | The objective of this paper is to analyze the stability of equilibrium manifolds for a ratio-dependent two-predators one-prey model. Some model results are presented first with the bifurcation without parame-ters method, and then the method was used to study bifurcation along the equilibrium manifold for the model. The model does not lose stability even when some equilibria are locally unstable because the equilibrium manifold is stable when treated as a whole. The ecological implications of the results are discussed. |
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Keywords: | bifurcation equilibrium manifold predator-prey model stability |
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