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Journal of Applied Mathematics
Article . 2012 . Peer-reviewed
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Journal of Applied Mathematics
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Multi‐State Dependent Impulsive Control for Pest Management

Multi-state dependent impulsive control for pest management
Authors: Huidong Cheng; Fang Wang; Tongqian Zhang;

Multi‐State Dependent Impulsive Control for Pest Management

Abstract

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.

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Keywords

differential equation geometry theory, Adaptive control/observation systems, Epidemiology, Application models in control theory, method of successor functions, QA1-939, Nonlinear oscillations and coupled oscillators for ordinary differential equations, periodic solutions, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
gold