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Global exponential stability analysis for tick population model with delayed sub-linear Gamma-Ricker nonlinearities

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成果类型:
期刊论文
作者:
Huang, Chuangxia;Wu, Jianhong
通讯作者:
Jianhong Wu
作者机构:
[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
[Wu, Jianhong] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada.
通讯机构:
[Jianhong Wu] D
Department of Mathematics and Statistics, York University, Toronto, M3J 1P3, ON, Canada
语种:
英文
关键词:
Tick population model;Persistence;Exponential stability;Developmental delay;Diapause-induced delay
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2023
卷:
355
页码:
369-385
基金类别:
National Natural Science Foundation of China [11971076]; Canada Research Chairs program
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
We argue that self-regulation in tick population dynamics in the natural world is not associated with the egg-production saturation, that was normally assumed in existing literature and modeled using the Ricker reproduction function. We argue that the nonlinearity and self-regulatory inhibition appear in the synergistic effect of tick cooperation and the crowding within groups, and an appropriate nonlinearity can be the sub -linear Gamma-Ricker function. We also noticed that the diapaused development leads to multiple time lags in a structured tick population dynamics model, leading to a scala...

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