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非自治捕食-食饵扩散系统的渐近性质
Asymptotic behavior of nonautonomous diffusive predator prey system
【摘要】 讨论了一个非自治具有第Ⅱ类功能性反应函数的两种群捕食食饵系统,一个种群可以在两个斑块间扩散,另一种群限制在一个斑块上.证明了在适当条件下,系统是永久持续生存的;若系统是周期系统,则在适当条件下,该系统存在惟一的全局吸引的正周期解.
【Abstract】 This paper considers a nonautonomous system of two predator prey species with the type Ⅱ functional response, one of two species can diffuse between two patches, and another is confined to one patch. It is proved that the model is permanent under appropriate conditions. Further if the model is a periodic system, it can have a strictly positive periodic solution which has global attractively under some appropriate conditions.
【关键词】 常微分方程;
永久持续生存;
最终有界域;
扩散率;
周期解;
【Key words】 differential equation; permanence; ultimately bounded domain; diffusion rate; periodic solution;
【Key words】 differential equation; permanence; ultimately bounded domain; diffusion rate; periodic solution;
- 【文献出处】 陕西师范大学学报(自然科学版) ,JOURNAL OF SHAANXI NORMAL UNIVERSITY(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1999年03期
- 【分类号】O175.14
- 【被引频次】7
- 【下载频次】36