- LIMIT CYCLES IN A CUBIC PREDATOR-PREY DIFFERENTIAL SYSTEM
- Huang Xuncheng ; Wang Yuanming ; Cheng Ansheng ;
- Journal of the Korean Mathematical Society, volume 43, issue 4, 2006, Pages 829~843
- DOI : 10.4134/JKMS.2006.43.4.829

Abstract

We propose a cubic differential system, which can be considered a generalization of the predator-prey models, studied by many authors recently (see [18, 20], for instance) The properties of the equilibrium points, the existences, nonexistence, the uniqueness conditions and the relative positions of the limit cycles are investigated. An example is used to show our theorems are easy to be used in applications.