脆弱斑块中植物种子的脉冲扩散  

Impulsive Dispersal of Plant Seeds in a Weak Patch

作　　者：谭远顺[1] 王丽敏[2] 陈兰荪[3] 

机构地区：[1]重庆交通大学理学院,重庆400074 [2]大连交通大学数理系,辽宁大连116028 [3]大连理工大学应用数学系,辽宁大连116024

出　　处：《数学的实践与认识》2007年第13期91-97,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目(10671001);重庆交通大学博士启动基金

摘　　要：考虑了一类脆弱斑块中植物种子的脉冲漂移模型,得到了系统永久持续生存性.在此基础上,利用单调凸算子理论,得到了系统唯一全局渐进稳定的周期解.数值模拟也表明脉冲扩散能挽救脆弱斑块中的植物种群.We propose an impulsive diffusion model in a weak patch, which provides a more natural description of plant seeds dynamics comparing with the continuous and discrete one. By using the discrete dynamical theorem generated by a monotone, concave map for the dispersal model we prove that the Poincare map has a globally stable positive fixed point. This implies tbat the system has a globally stable positive periodic solution. Numerical simulations also show tbat the impulsive diffusion can save the extinction of specie in the weak patch.

关 键 词：脉冲扩散 脆弱斑块 永久持久 周期解 全局稳定性 

分 类 号：Q948[生物学—植物学]