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一类具有饱和传染力的Schoner竞争系统的概周期解
Almost Periodic Solution for a Schoner Competitive System with Saturated Infectious Force
【摘要】 对一类具有饱和传染力的Schoner竞争系统进行了研究,得到了系统持久生存和任一正解全局渐近稳定的充分条件;同时当系统是概周期系统时,通过构造适当的Liapunov函数,建立了相应系统存在唯一、全局渐近稳定的概周期正解的充分判据.
【Abstract】 A Schoner competitive system with saturated infectious force is studied in this paper.Some sufficient conditions for the persistence and the global asymptotic stability of any positive solution are obtained.What′s more,when the system is almost periodic,it proved that there is a unique and global asymptotic almost periodic solution by constructing certain Liapunov function.
【关键词】 饱和传染力;
Schoner竞争系统;
持久生存;
全局渐近稳定;
概周期解;
【Key words】 saturated infectious force; schnoer model; persistence; global asymptotic stability; almost periodic solution;
【Key words】 saturated infectious force; schnoer model; persistence; global asymptotic stability; almost periodic solution;
【基金】 四川省教育厅科研基金(07ZC053);西南科技大学重点科研基金(07ZX2110)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年01期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】123