BISTABLE DYNAMICS ON A TICK POPULATION EQUATION INCORPORATING ALLEE EFFECT AND TWO DIFFERENT TIME-VARYING DELAYS

Huang C. Guo X. Cao J. Kashkynbayev A.
November 2022 American Institute of Mathematical Sciences

Discrete and Continuous Dynamical Systems - Series S
2022 #15 Issue 11 3173 - 3188 pp.

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.

Allee effect , basin of attraction , exponential stability , Tick population dynamics model , time-varying delay

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School of Mathematics and Statistics, Changsha University of Science and Technology, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Hunan, Changsha, 410114, China
College of Data Science, Jiaxing University Jiaxing, Zhejiang, 314001, China
School of Mathematics, Southeast University, Nanjing, 210096, China
Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South Korea
Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan

School of Mathematics and Statistics
College of Data Science
School of Mathematics
Yonsei Frontier Lab
Department of Mathematics

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