Multi-state dependent impulsive control for pest management
type: Item
instance of: scholarly article
title: Multi-state dependent impulsive control for pest management
zbMATH Open document ID: 1251.93060
DOI: 10.1155/2012/381503
author: Huidong Cheng
author: Fang Wang
author: Tongqian Zhang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: According to the integrated pest management strategies, we propose a model for pest control which adopts different control methods at different thresholds. By using differential equation geometry theory and the method of successor functions, we prove the existence of order one periodic solution of such system, and further, the attractiveness of the order one periodic solution by sequence convergence rules and qualitative analysis. Numerical simulations are carried out to illustrate the feasibility of our main results. Our results show that our method used in this paper is more efficient and easier than the existing ones for proving the existence of order one periodic solution.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6106193
zbMATH Keywords: differential equation geometry theory
zbMATH Keywords: method of successor functions
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/381503
OpenAlex ID: W2107835392
Wikidata QID: Q58906779
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description: scientific article; zbMATH DE number 6106193