摘要
研究一类具Holling-Ⅲ类功能性反应的食物有限捕食-被捕食模型的动力学性态。应用微分方程定性理论，证明当正平衡点不稳定时该模型存在唯一稳定的极限环。
Abstract： In this paper, a food-limited predatory-prey model with Holling type--lll functional responses is studied. The local stability of each of feasible equilibria of the model is established. By using the qualitative theory of ordinary differential equations, it is proved that if the positive equilibrium is unstable, then the proposed model has a unique limit cycle which is stable.
出处
《军械工程学院学报》
2008年第3期73-75,共3页
Journal of Ordnance Engineering College
基金
国家自然科学基金项目（10671209）
