Integrated Pest Management System with Impulsive Control of Spatial Heterogeneity

被引：0
作者：
Hongling, Zhou [1 ]
Lin, Shen [1 ,2 ]
Shu, Wang [2 ]
机构：
[1] Huanghuai Univ, Sch Math & Stat, Zhumadian 463000, Peoples R China
[2] Beijing Univ Technol, Sch Math, Fac Sci, Ping Le Yuan 100, Beijing 100124, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 35卷 / 01期
关键词：
Integrated pest management; eigenvalue problem; pest control; diffusion; STRUCTURED EPIDEMIC SYSTEMS; MODELS; STABILIZATION; STRATEGIES; RELEASE;
D O I：
10.4208/jpde.v35.n1.3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An impulsive integrated pest management system with diffusion is investigated within this paper. The conditions for pest eradication of the impulsive system without natural enemies are established based on the Krein-Rutman theorem and the comparison principle for parabolic equations. Integrated pest management can be achieved at an exponential rate, when the principal eigenvalues of the auxiliary system is large enough. Numerical simulations are presented to demonstrate the theoretical results. A discussion is given at the end.
引用
收藏
页码：31 / 48
页数：18
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