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依赖比率的捕食被捕食系统的全局分析 :捕食与被捕食者均有密度制约的情况(英文)
Global analysis of a ratio-dependent predator-prey system:A case for both prey and predator with density restrict
【摘要】 近年来依赖比率的捕食与被捕食模型已引起了生态学者和生物数学研究者的密切注意 ,这是因为它们比传统的模型更加接近实际情形 .本文研究了依赖比率的捕食与被捕食系统的全局定性性态 ,这里捕食与被捕食者均为密度制约的
【Abstract】 Recently ratio dependent predator prey models have been paid close attention by many ecologists and biomathematical researchers because they are preferable to predator prey interaction where predation involves searching process. In this paper we consider the global qualitative behavior of a ratio dependent predator prey system, which both predator and prey have density restrict by means of Poincare Bendixson theorem and Dulac criterion. We also give sufficient conditions for all the steady states to be existed.
【关键词】 全局稳定性；
捕食与被捕食系统；
密度制约；
庞卡莱—班狄克生定理；
【Key words】 global stability； predator prey system； density restrict； Poincare Bendixson theorem；
【Key words】 global stability； predator prey system； density restrict； Poincare Bendixson theorem；
【基金】 Supported by Natural Science Foundation of Henan Province
- 【文献出处】 河南师范大学学报(自然科学版) ,Journal of Henan Normal University(Natural Science) , 编辑部邮箱 ,2003年03期
- 【分类号】O175
- 【下载频次】96