Mathematical modelling to control a pest population by infected pests
Mathematical modelling to control a pest population by infected pests
复制标题
通过受感染害虫控制害虫种群的数学模型
DOI：
10.1016/j.apm.2008.08.018
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发表时间：
2009-06-01
影响因子：
5
通讯作者：
Chen, Lansun
中科院分区：
文献类型：
--
作者：
Sun, Shulin;Chen, Lansun
In this paper. we formulate and investigate the pest control models in accordance with the mathematical theory of epidemiology. We assume that the release of infected pests is continuous and impulsive, respectively. Therefore, our models are the ordinary differential equations and the impulsive differential equations. We study the global stability of the equilibria of the ordinary differential equations. The permanence of the impulsive differential equations is proved. By means of numerical simulation, we obtain the critical values of the control variable under different methods of release of infected pests. Thus, we provide a mathematical evidence in the management of an epidemic controlling a pest. (C) 2008 Elsevier Inc. All rights reserved.
