摘要
研究了一类食饵具有阶段结构的时滞捕食系统,通过分析相应的特征方程,得到非负平衡点的局部稳定性,利用比较原理和迭代法得到平衡点的全局渐近稳定的充分条件.最后,通过数值模拟阐述了所得结论的正确性.
This paper studies a delayed predator-prey system with stage structure for prey.By analyzing the corresponding characteristic equations,the local stability of the nonnegative equilibria is obtained.The sufficient conditions of the global asymptotic stability of the equilibria are investigated by using the comparison principle and an iteration technique.Finally,numerical simulation describes the conclusions are correct.
作者
张雷
叶晓君
仇华海
ZHANG Lei;YE Xiao-jun;QIU Hua-hai(Basical Department,Wuxi Institute of Arts and Technology,214206,China;College of Continuing Education,Wuxi Institute of Arts and Technology,214206,China;College of Mathmatics and Computer,Wuhan Textile University,Wuhan 430200,China)
出处
《数学的实践与认识》
北大核心
2019年第7期248-255,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11401448)