具生育脉冲的阶段结构模型的脉冲捕捞策略  

Impulsive Harvesting Strategy in a Stage Structure Population Model with Birth Pulse

作　　者：范京芝[1] 蒋贵荣[1,2] 覃永昼 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]德克萨斯大学阿灵顿分校数学系,美国德克萨斯阿灵顿76019

出　　处：《山西大学学报（自然科学版）》2011年第3期409-414,共6页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(10871074);广西自然科学基金(0832244)

摘　　要：以脉冲微分方程理论为基础,研究了一个具阶段结构、生育脉冲和脉冲收获的单种群模型的动力学性质,其中生育脉冲和脉冲收获发生在不同时刻;讨论了模型正周期解的存在性和稳定性;通过利用中心流形定理和分岔理论,得到了filp分岔发生的条件;进一步,给出了相图、周期解和分岔图的数值模拟结果,很好地验证了理论分析结果.Based on impulsive differential equations,the dynamical behaviors of a single specie model with stage structure,birth pulse and impulsive harvesting,are investigated,where birth pulse and impulsive harvesting act at different times.The existence and stability of the positive period solution of model are discussed.By using center manifold theorem and bifurcation theorem,the condition of occurrence for filp bifurcation is derived.Moreover,the numerical simulations results of the phase portraits,the periodic solutions and the bifurcation diagram,which are illustrated by an example,are in good agreement with the theoretical analysis results.

关 键 词：阶段结构种群模型 周期解 flip分岔 脉冲收获 

分 类 号：N55[自然科学总论]