指数稳定性
半群
异步通信
应用数学
数学
不稳定性
人口
指数增长
人口模型
统计物理学
稳态(化学)
理论(学习稳定性)
多级模型
离散时间和连续时间
滞后
光谱特性
指数函数
计算机科学
统计
数学分析
物理
非线性系统
人口学
社会学
计算机网络
化学
物理化学
量子力学
机器学习
机械
天体物理学
作者
Dongxue Yan,Xianlong Fu
出处
期刊:Evolution Equations and Control Theory
日期:2018-01-01
卷期号:7 (2): 293-316
被引量:5
摘要
We study in this paper a hierarchical size-structured population dynamics model with environment feedback and delayed birth process. We are concerned with the asymptotic behavior, particularly on the effects of hierarchical structure and time lag on the long-time dynamics of the considered system. We formally linearize the system around a steady state and study the linearized system by $C_0-{\rm{semigroup}}$ framework and spectral analysis methods. Then we use the analytical results to establish the linearized stability, instability and asynchronous exponential growth conclusions under some conditions. Finally, some examples are presented and simulated to illustrate the obtained results.
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