Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 963072, 18 pages.
Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses
According to integrated pest management strategies, we construct and investigate the dynamics of a Holling-Tanner predator-prey system with state dependent impulsive effects by releasing natural enemies and spraying pesticide at different thresholds. Applying the Dulacs criterion, the global stability of the positive equilibrium in the system without impulsive effect is discussed. By using impulsive differential equation geometry theory and the method of successor functions, we prove the existence of periodic solution of the system with state dependent impulsive effects. Furthermore, the stability conditions of periodic solutions are obtained. Some simulations are exerted to illustrate the feasibility of our main results.
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 963072, 18 pages.
First available in Project Euclid: 6 October 2014
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Zhao, Wencai; Liu, Yulin; Zhang, Tongqian; Meng, Xinzhu. Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 963072, 18 pages. doi:10.1155/2014/963072. https://projecteuclid.org/euclid.aaa/1412607549