具有脉冲效应和非线性发病率的有害生物治理模型的动力学行为

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2011-07-18 DOI:10.1590/S1807-03022011000200008

Xia Wang, Zhen Guo, Xinyu Song

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引用次数: 8

摘要

本文考虑了喷洒微生物农药并释放被感染害虫的病虫害治理模式，被感染害虫具有与微生物农药相似的功能，可以感染健康害虫，进一步削弱或使其捕食功能丧失，直至死亡。利用脉冲微分方程的Floquet理论，证明了当脉冲周期τ τ极大时，存在一个全局渐近稳定的害虫根除周期解。最后，通过数值模拟表明，随着脉冲周期的增加，系统表现出复杂的行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate

In this paper, we consider the pest management model with spraying microbial pesticide and releasing the infected pests, and the infected pests have the function similar to the microbial pesticide and can infect the healthy pests, further weaken or disable their prey function till death. By using the Floquet theory for impulsive differential equations, we show that there exists a globally asymptotically stable pest eradication periodic solution when the impulsive period τ τmax. Finally, by means of numerical simulation, we showthatwith the increaseof impulsive period, the system displays complicated behaviors.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.