具密度依赖和脉冲生育的单种群阶段结构模型  

Stage-structured Model of a Single-species with Density-dependent Birth Pulses

作　　者：程超[1] 杜明银[1] 栗永安[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《甘肃科学学报》2008年第3期23-26,共4页Journal of Gansu Sciences

摘　　要：给出了具密度依赖和脉冲生育的单种群阶段结构模型,通过研究其对应的离散系统,得到周期解及其稳定性的阀值.当系统的参数超过阀值,存在一系列的分支并最终走向混沌.A stage-structured mathematical of a single-species with density-dependent birth pulses is proposed. Exact periodic solutions of the system with birth pulses and threshold for stability of periodic solutios are obtained by studying the discrete dynamical system determined by the stroboscopic map. When the parameter of the system exceeds the threshold, there is a characteristic sequence of bifurcations, leading to chaos. The approach is besed on the application of continuation theorem in Mawhin＇s coincidence degree theory.

关 键 词：密度依赖 生育脉冲 阀值 周期解 混沌 

分 类 号：O175.1[理学—数学]