桂林电子科技大学学报2011，Vol.31Issue(2)：163-167,5.
具有两类脉冲的阶段结构模型的周期解与分岔
Periodic solution and bifurcation in a stage structure model with two kinds of pulses
摘要
Abstract
The impulsive differential dynamical system synthesizes the nature of continuity and discreteness but goes beyond its scope in theory. In this paper, in terms of the theory of impulsive differential equations, the dynamics of a stage structure model are studied by bifurcation theorem based on dynamic qualitative analysis and discrete dynamic systems , where two kinds of pulse act at different times. The stage structure model is constructed, the existence and stability of the positive period solution are debated. The condition of occurrence for transcritical bifurcation is derived. The numerical simulations results of the phase portraits, the periodic solutions and bifurcation graphs by MATLAB, 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/跨临界分岔/脉冲Key words
stage structure population model/ periodic solution/ transcritical bifurcation/ pulse分类
数理科学引用本文复制引用
范京芝,蒋贵荣,韩虎..具有两类脉冲的阶段结构模型的周期解与分岔[J].桂林电子科技大学学报,2011,31(2):163-167,5.基金项目
国家自然科学基金(10871074) （10871074）
广西自然科学基金(0832244) （0832244）
