顶端捕食者具有额外食物提供的食物链系统的动力学分析

Dynamic of a predator-prey model with supplying additional food to top-predator

本文研究了对顶端捕食者提供额外食物的常微捕食系统.首先,通过比较原理及微分不等式研究了系统解的正有界性及平衡点的存在性,然后运用特征值方法及Routh-Hurwitz判据对可能存在的平衡点的局部渐近稳定性进行讨论,并对系统的持久性进行分析.最后,通过数值模拟验证本文的相关结论.

In this paper,we propose and investigate a predator-prey model with additional food to top-predator.We investigate the positivity and boundedness of the solutions of this system,as well as the existence of the equilibria of this system.By analyzing the characteristic equations,the local asymptotically stability of feasible equilibria of the system is discussed.Finally,numerical simulations are carried to verify the theoretical conclusions.