Permanence and global attractivity of a periodic predator–prey system with mutual interference and impulses
✍ Scribed by Zhong Li; Fengde Chen; Mengxin He
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 366 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
In this paper, we consider a periodic predator-prey system with mutual interference and impulses. By constructing a suitable Lyapunov function and using the comparison theorem of impulsive differential equation, sufficient conditions which ensure the permanence and global attractivity of the system are obtained. We also present some examples to verify our main results.
📜 SIMILAR VOLUMES
A stage-structured three-species predator-prey system with Beddington-DeAngelis and Holling IV functional response is proposed and analyzed. Based on the comparison theorem, some sufficient and necessary conditions are derived for permanence of the system. Finally, two examples are presented to illu
## Abstract In this paper, a predator–prey system with stocking of prey and harvesting of predator impulsively is studied. Here, the prey population is stocked with a constant quantity and the predator population is harvested at a rate proportional to the species itself at fixed moments. Under some