具有非线性自食的L-V竞争系统局部稳定性研究

Study on Local Stability of L-V Competitive System with Nonlinear Cannibalism

提出具有非线性自食的Lotka-Volterra竞争模型,探讨了模型平衡点的存在性和局部稳定性,研究表明引入自食后系统的正平衡点个数增多,可同时存在稳定和不稳定的正平衡点。

The Lotka-Volterra competition model with nonlinear cannibalism is proposed,and the existence and local stability of equilibrium points are discussed.The research shows that the number of positive equilibrium points of the system increases with the introduction of cannibalism,and stable and unstable positive equilibrium points can exist at the same time.