害虫及其捕食者模型的动力学行为（英文）

On the Dynamical Behavior of Pest and it's Predator Model

本文研究了一类捕食与被捕食者模型.模型中的食饵是害虫,而捕食者是以害虫为食饵的害虫.文中假设食饵种群感染病毒疾病而形成易感者和染病者类.在没有食饵害虫存在时,捕食者害虫按Logistic函数增长.易感者和染病者种群及易感者与捕食者种群之间的相互作用由Holling I型函数控制,而染病者种群与捕食者种群之间的相互作用由Holling II型函数控制.文章得到了系统持久与灭绝的充分条件,给出了种群相互作用的全局动力学性质.

In this paper,we develop and analyze a prey-predator model.Here the prey population is taken as pest and the predators are those eat the pests.Moreover,we assume that the prey species is infected with a viral disease forming into susceptible and infected classes.In addition,in the absence of pest,pest＇s predator is a generalist predator and follows a logistic growth function.Further,the interaction between susceptible pest and infected pest,susceptible pest and predator is assumed to be governed by a Holling-Type I functional response,and that of between infected pest and its predator following HoUing-Type II functional response.Sufficient conditions of the persistence and extinction of all possible scenarios model are provided,which give us a complete picture on its global dynamics.