濒危动物白头叶猴保护的脉冲扩散模型  

An Impulsive Diffusion Model based on Protection of an Endangered Animal White-headed Langur

作　　者：徐为坚[1] 陈时东[2] 何家莉[1] 

机构地区：[1]玉林师范学院数学与信息科学学院,广西玉林537000 [2]玉林师范学院电子与通信工程学院,广西玉林537000

出　　处：《玉林师范学院学报》2013年第2期11-16,共6页Journal of Yulin Normal University

基　　金：广西自然科学基金项目(桂科自0991283)后续成果

摘　　要：建立脆弱斑块环境中白头叶猴种群的脉冲扩散模型,利用单调凹算子理论,得到了系统存在全局渐近稳定的正周期解的条件,并进行了数值模拟.研究结果表明,脉冲迁移有利于脆弱斑块环境中白头叶猴种群的平衡发展及持续生存.This paper constructs an impulsive diffusion model of the white-headed langur species in the environment of vulnerable plaques.The condition for the existence of a positive periodic solution with global asymptotic stability in the system is obtained by using the Monotone concave operator theory,and the numerical simulation is performed.The result shows that impulsive diffusion is conducive to the balanced development and the continued survival of white-headed langurs in the environment of vulnerable plaques.

关 键 词：白头叶猴 脆弱斑块 脉冲扩散 全局渐近稳定 周期解 

分 类 号：O175.14[理学—数学]