内禀增长率对率依赖捕食-被捕食系统的影响

Influence of Intrinsic Growth Rate on Rate-Dependent Predator-Prey System

主要研究率依赖捕食-被捕食系统正平衡点的稳定性及分岔问题,分析内禀增长率对率依赖捕食被捕食系统的影响,并用非线性数值模拟软件进行了验证。理论分析与数值结果完全吻合,表明研究方法的正确性。所得结论对生物控制有重要启示。

This paper mainly studies the stability of positive equilibrium and Hopf bifurcation of rate-dependent predator-prey system. The effect of intrinsic growth rate on rate-dependent predator-prey system is analyzed. It is verified by non-linear numerical simulation software Winpp. The theoretical analysis is in good agreement with the numerical results. This shows the correctness of the research method in this paper. The conclusions obtained have important implications for biological control.