具有阶段结构的捕食-互惠耦合系统的动力学分析

Analysis of a Predator-mutualism Coupling System with a Stage Structure

捕食和互惠是种群之间两个重要的关系,构成了生物群落的基础.研究了一个具有阶段结构的捕食-互惠耦合系统的动力学性质.根据实际问题,建立了一个具有阶段结构的捕食-互惠耦合系统,探讨了其边界平衡点及正平衡点的存在性、唯一性及稳定性,并利用数值模拟,验证了得到的理论结果.

Predation and mutualism are two important relationships in the population,which form the basis of the biological community.The dynamic properties of a predator-mutualism coupling system with a stage-structure are investigated.Based on the actual ecological problems,a predator-mutualism coupling system with a stage-structure is established,and the existence,uniqueness and stability of boundary equilibrium points and positive equilibrium points of the system are explored.Finally,the numerical simulation is used to verify the theoretical results obtained.