食饵有感染的时滞三维捕食-被捕食模型稳定性分析(英文)  

Stability analysis in an three-dimensional infected prey-predator system with delay

作　　者：杨帆[1] 张春蕊[1] 

机构地区：[1]东北林业大学数学系,哈尔滨150040

出　　处：《黑龙江大学自然科学学报》2010年第2期180-187,共8页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the Postdoctoral Research Fund of Heilongjiang Province

摘　　要：食饵具有感染率的捕食-被捕食系统可以用来解释生命科学中的很多现象,该问题已经被很多学者研究。在人口动力学中,收获率对物种有重要的影响。研究了一类具有收获的食饵有感染的时滞三维捕食-被捕食模型的稳定性,同时发现当参数经过一系列临界值时,系统产生Hopf分支现象。数值仿真证明了理论结果。Infected prey-predator system is a famous model which was applied to explain some phenomena in life science and studied by many authors. Harvesting has generally a strong impact on the population dynamics of a harvested species. An three-dimensional infected delayed prey-predator system with harvesting is considered. The linear stability of the model is studied. It is found that there exists Hopf bifurcations when the parameter passes a sequence of critical values. Computer simulations are performed to support the theoretical predictions.

关 键 词：食饵有感染的捕食-被捕食系统 时滞微分方程 稳定 HOPF分支 周期解 

分 类 号：O189.1[理学—数学]