一类具有常数收获率的功能性反应模型的定性分析  

The qualitative analysis of a class of models with constant rare harvesting and functional response

作　　者：芦雪娟[1] 堵秀凤[1] 

机构地区：[1]齐齐哈尔大学理学院,齐齐哈尔161006

出　　处：《黑龙江大学自然科学学报》2009年第6期762-765,769,共5页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省教育厅科学技术研究项目(11521306)

摘　　要：对食饵种群在密度制约条件下,两种群同时具有常数收获率的一类功能性反应模型进行了定性分析,通过对文中所给参数δ,τ的分析,得到了模型存在唯一正平衡点的条件;并由所设定参数的讨论,得到了此正平衡点的稳定性、不稳定性及中心型高阶奇点的判定条件;最后在给定条件下,得到了模型在可行域中不存在闭轨线的结论。The qualitative analysis is given to a class of models with constant rate harvesting and functional response, in which the prey-predator system is density dependent. By analyzing parameterδ and τ, the condition for the existence and uniqueness of the positive equilibrium of the model is given. The determination condition of sta- bility and instability and central type high-order singular point of the positive equilibrium are obtained by discussing the given parameter. Finally, it is shown that there is no closed orbit in feasible region in certain conditions, librium by discussing the given parameter; finally, obtain the conclusion of unexistence of closed orbit in feasible region in the given condition.

关 键 词：平衡点 极限环 定性分析 

分 类 号：O175.2[理学—数学]