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具脉冲和扩散的Holling Ⅲ型捕食系统的持久性
Permanence of Holling Ⅲ type predator-prey system with impulse and diffusion
【摘要】 讨论了一类具有扩散和脉冲项的比率依赖HollingⅢ型捕食系统,该系统带有齐次Neumann边界条件.给出了系统有正向不变集,解的最终有界性与系统持久性及捕食者灭绝的一些充分条件.
【Abstract】 This paper was concerned with a ratio-dependent Holling type-Ⅲfunctional response predatorprey system with impulse and diffusion under homogeneous Neumann boundary conditions.Some sufficient conditions were given for the existence of positively invariant set,ultimate boundedness of solutions,permanence and the extinction of predator population in this system.
【关键词】 捕食系统;
扩散;
脉冲;
比率依赖;
持久性;
【Key words】 predator-prey system; diffusion; impulse; ratio-dependence; permanence;
【Key words】 predator-prey system; diffusion; impulse; ratio-dependence; permanence;
【基金】 国家自然科学基金项目(10801065)
- 【文献出处】 兰州大学学报(自然科学版) ,Journal of Lanzhou University(Natural Sciences) , 编辑部邮箱 ,2009年06期
- 【分类号】O175
- 【被引频次】5
- 【下载频次】90