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非自治单种群n-斑块扩散模型的全局稳定性
Global asymptotic stability for diffusion models of nonautonomous single-species n-patches
【摘要】 研究了非自治单种群n-斑块扩散系统,得到了系统一致持续生存和全局渐近稳定判断准则,进一步给出了系统存在一个全局渐近稳定的正周期解及正概周期解的充分条件。
【Abstract】 The diffusion system of nonautonomous single-species n-patches was studied,and the system determining criterion of uniform sustaining subsistence and global asymptotic stability was obtained.Furthermore,the sufficient conditions,which the system exists a positive periodic solution and a probable positive periodic solution of global asymptotic stability,are given.
【关键词】 扩散;
持续生存;
周期解;
概周期解;
全局渐近稳定;
【Key words】 diffusive; sustaining subsistence; periodic solution; probable periodic solution; global asymptotic stability;
【Key words】 diffusive; sustaining subsistence; periodic solution; probable periodic solution; global asymptotic stability;
【基金】 辽宁省普通高校学科带头人基金项目(124210);辽宁省科技厅基金资助项目(2001401041);四平市科技发展计划项目(四科合字第2005020号)
- 【文献出处】 鞍山科技大学学报 ,Journal of Anshan University of Science and Technology , 编辑部邮箱 ,2006年06期
- 【分类号】Q141
- 【下载频次】74