一类基于比率的捕食-食饵系统的全局稳定性分析

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Global Stability Analysis of a Ratio-Dependent Predator-Prey System

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China

摘要: 研究一类基于比率和具第Ⅲ类功能性反应的捕食-食饵系统．通过分析正平衡点的局部稳定性给出了系统正平衡点全局渐近稳定以及系统存在极限环的条件．运用Hopf分支理论讨论了当正平衡点是非双曲型时的情形．
- 比率 /
- 全局渐近稳定 /
- 功能性反应 /
- Hopf分支
Abstract: A ratio dependent predator-prey system with Holling type ó functional response was considered.The sufficient condition of the global asymptotic stability for the positive equilibrium and the existence of the limit cycle were given by studying the locally asymptotic stability of the positive equilibrium.At last,the condition when the positive equilibrium is no hyperbolic equilibrium was discussed by Hopf bifurcation.
- ratio-dependent /
- global asymptotic stability /
- functional response /
- Hopf bifurcation

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