害虫及其捕食者模型的动力学行为（英文）

牛丽娜; 曼合布拜·热合木

doi:10.13568/j.cnki.651094.2016.02.007

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害虫及其捕食者模型的动力学行为（英文）

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- 害虫及其捕食者模型的动力学行为（英文）
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 33, Issue 2, Pages: 165-171(2016)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2016.02.007
  CLC： O175
- Published：2016
- 稿件说明：
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[1]牛丽娜,曼合布拜·热合木.害虫及其捕食者模型的动力学行为（英文）[J].新疆大学学报(自然科学版),2016,33(02):165-171.
[1]牛丽娜,曼合布拜·热合木.害虫及其捕食者模型的动力学行为（英文）[J].新疆大学学报(自然科学版),2016,33(02):165-171. DOI： 10.13568/j.cnki.651094.2016.02.007.

DOI：10.13568/j.cnki.651094.2016.02.007.

摘要

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.

Abstract

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.

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Keywords

references

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