独特性
边界(拓扑)
数学
理论(学习稳定性)
人口
应用数学
动力学(音乐)
功能(生物学)
控制理论(社会学)
国家(计算机科学)
数理经济学
统计物理学
数学分析
计算机科学
物理
进化生物学
生物
机器学习
社会学
人口学
人工智能
控制(管理)
声学
算法
作者
Shangzhi Li,Shangjiang Guo
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2020-01-01
卷期号:25 (9): 3523-3551
被引量:1
标识
DOI:10.3934/dcdsb.2020071
摘要
This paper is devoted to the dynamics of a predator-prey model with stage structure for prey and state-dependent maturation delay. Firstly, positivity and boundedness of solutions are addressed to describe the population survival and the natural restriction of limited resources. Secondly, the existence, uniqueness, and local asymptotical stability of (boundary and coexisting) equilibria are investigated by means of degree theory and Routh-Hurwitz criteria. Thirdly, the explicit bounds for the eventual behaviors of the mature population are obtained. Finally, by means of comparison principle and two auxiliary systems, it observed that the local asymptotical stability of either of the positive interior equilibrium and the positive boundary equilibrium implies that it is also globally asymptotical stable if the derivative of the delay function around this equilibrium is small enough.
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