Affiliation:
1. College of Science, Shandong University of Science and Technology, Qingdao 266510, China
Abstract
According to the integrated pest management strategies, a Holling type I functional response predator-prey system concerning state-dependent impulsive control is investigated. By using differential equation geometry theory and the method of successor functions, we prove the existence of order one periodic solution, and the attractivity 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 which show that our method used in this paper is more efficient than the existing ones for proving the existence and attractiveness of order one periodic solution.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis
Cited by
13 articles.
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