霍普夫分叉
理论(学习稳定性)
分叉
扩散
不稳定性
人口
人口模型
数学
稳态(化学)
机械
物理
计算机科学
化学
热力学
非线性系统
量子力学
机器学习
人口学
物理化学
社会学
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2024-01-01
卷期号:29 (5): 2257-2281
标识
DOI:10.3934/dcdsb.2023176
摘要
The spatial memory and maturation time are incorporated into the spatially heterogeneous single advection-diffusion population model.The combined effects of memory, maturation and heterogeneity on the stability and the Hopf bifurcation of the model at the spatially nonconstant positive steady state are presented.It is found that the model could undergo the Hopf bifurcation under some conditions.However it only experiences a single stability switch from stability to instability with increases of delay, and the large diffusion could not lead to multiple stability switches of such model with the interaction of memory and maturation delays, as contrast to the case without spatial memory.
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