目标转移对三种群捕食系统的影响(英文)  

Switching Effect in Three-dimensional Prey-predator System

作　　者：陈元明[1] 黄永年[2] 张建勋[2] 

机构地区：[1]丽水学院数学系,浙江丽水323000 [2]宁波大学理学院,浙江宁波315211

出　　处：《郑州大学学报（理学版）》2007年第1期20-23,共4页Journal of Zhengzhou University:Natural Science Edition

摘　　要：考虑了一个有目标转移强度的两个食饵和一个捕食者的数学模型.通过Hurwitz判据和Lyapunov方法得到了系统正平衡点稳定的条件.当两食饵种群的内禀增长率相同时,该捕食系统将有一个周期解.A mathematical model of two-prey and one-predator system which has the switching property of predation is considered. By using the Routh-Hurwitz criteria and Lyapunov method, the condition of the stable positive equilibrium is obtained. In the special case that two-prey species have the same intrinsic growth rates, it is shown that the system asymptotically settles a Volterra^s oscillation in three-dimensional space.

关 键 词：目标转移强度 捕食系统 VOLTERRA方程 正平衡点 稳定性 

分 类 号：O175.1[理学—数学]