具常数投放率的食饵-捕食系统的定性分析  

Qualitative analysis of predator-prey system with constant rate stocking

作　　者：田新燕[1] 乔元华[1] 王政[2] 

机构地区：[1]北京工业大学应用数理学院,北京100124 [2]山东理工大学理学院,山东淄博255091

出　　处：《山东理工大学学报（自然科学版）》2012年第6期13-16,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(61070149)

摘　　要：通过研究一类具有常数投放率的食饵-捕食系统的定性行为,得到了正平衡点的全局渐近稳定以及在正平衡点周围存在唯一稳定极限环的充分条件,并用数值模拟验证了结论的正确性.Qualitative behavior for predator-prey system with constant rate stocking by function effect is discussed. The sufficient conditions for the global asymptotic stability of the positive e- quilibrium and the existence uniqueness of the limit cycle around the positive equilibrium are ob- tained. The results were proved by the technology of numerical simulation.

关 键 词：投放率 全局渐近稳定 极限环 

分 类 号：O175.12[理学—数学]