节点文献
捕食者具有双时滞与阶段结构的食饵-捕食系统的稳定性分析
Stability analysis of a predator-prey system with two time delays and stage-structure for the predator
【摘要】 研究捕食者具有阶段结构及双时滞的食饵-捕食模型,通过讨论其雅可比矩阵的特征根、利用比较定理及极限系统理论,给出系统平衡点全局渐近稳定的充分条件,并利用Matlab进行数值模拟验证了本文的主要结果.
【Abstract】 A predator-prey system with two time delays and stage-structure for the predator is investigated.Using the method of characteristic root,the comparison theorem of differential equation and the theory of limit system,the sufficient conditions are obtained for the globally asymptotically stability of the equilibria.Numerical simulations are carried out to illustrate the main results.
【关键词】 时滞;
阶段结构;
食饵-捕食系统;
全局渐近稳定;
【Key words】 time delay; stage-structure; predator-prey system; globally asymptotically stability;
【Key words】 time delay; stage-structure; predator-prey system; globally asymptotically stability;
【基金】 国家自然科学基金项目(No:61673073);辽宁省教育厅项目(No:L2012404)
- 【文献出处】 渤海大学学报(自然科学版) ,Journal of Bohai University(Natural Science Edition) , 编辑部邮箱 ,2017年01期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】82