节点文献
具有两性的捕食者-食饵模型的渐近性态
Asymptotic Behavior of Two-Sex Predator-Prey Model
【摘要】 研究具有Holling Ⅱ功能反应的捕食者食饵模型. 得到了食饵两性具有不同的出生率和死亡率时, 边界平衡点全局稳定的条件及食饵和捕食者一致持续生存的条件. 数值模拟表明, 捕食者的存在最终不会改变食饵的性别比例.
【Abstract】 The asymptotic behavior of a predator-prey system is studied with assumptions that birth and death rates for male and female prey are different and that the functional response is of Holling II type. Conditions for global stability of boundary equilibrium and conditions for the permanence of prey and predator are obtained. Computer simulation shows that the existence of predator will not change the sexual ratio of prey in the end.
【关键词】 捕食者-食饵模型;
全局稳定性;
奇点分支;
一致持续生存;
【Key words】 predator-prey model; global stability; equilibrium bifurcation; permanence;
【Key words】 predator-prey model; global stability; equilibrium bifurcation; permanence;
【基金】 国家自然科学基金资助项目(10271096).
- 【文献出处】 西南师范大学学报(自然科学版) ,Journal of Southwest China Normal University(Natural Science) , 编辑部邮箱 ,2005年01期
- 【分类号】O242.1
- 【被引频次】16
- 【下载频次】191