One and three limit cycles in a cubic predator–prey system
✍ Scribed by Xuncheng Huang; Yuanming Wang; Lemin Zhu
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 126 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.791
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✦ Synopsis
Abstract
A cubic differential system is proposed, which can be considered a generalization of the predator–prey models, studied recently by many authors. The properties of the equilibrium points, the existence of a uniqueness limit cycle, and the conditions for three limit cycles are investigated. The criterion is easy to apply in applications. Copyright © 2006 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
In this study, we consider a mathematical model of two competing prey and one predator system where the prey species follow Lotka}Volterra-type dynamics and the predator uptake functions are ratio dependent. We have derived the conditions for existence of di!erent boundary equilibria and discussed t