Bistable dynamics on a tick population equation incorporating Allee effect and two different time-varying delays-Reference-Cited by-同舟云学术

Bistable dynamics on a tick population equation incorporating Allee effect and two different time-varying delays

Published:2022 Issue:11 Volume:15 Page:3173
ISSN:1937-1632
Container-title:Discrete and Continuous Dynamical Systems - S
language:
Short-container-title:DCDS-S

Author:

Huang Chuangxia¹,Guo Xiaojin¹²,Cao Jinde³⁴,Kashkynbayev Ardak⁵

Affiliation:

1. School of Mathematics and Statistics, Changsha University of Science and Technology, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha 410114, Hunan, China

2. College of Data Science, Jiaxing University, Jiaxing, Zhejiang 314001, China

3. School of Mathematics, Southeast University, Nanjing 210096, China

4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea

5. Department of Mathematics, Nazarbayev University, Nur-Sultan 010000, Kazakhstan

Abstract

<p style='text-indent:20px;'>We study the bistable dynamic behaviors for a tick population model involving Allee effect and multiple different time-varying delays. Utilizing some basic inequality techniques and dynamics theory, the positive invariant sets and exponential stability conditions of the zero equilibrium and larger positive equilibrium for the addressed model are presented. In addition, some numerical examples are shown to verify the correctness and novelty of the theoretical results.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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