@article{db0bd74b44db40bd85b12b21fb12a2f1,
title = "BISTABLE DYNAMICS ON A TICK POPULATION EQUATION INCORPORATING ALLEE EFFECT AND TWO DIFFERENT TIME-VARYING DELAYS",
abstract = "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.",
keywords = "Allee effect, basin of attraction, exponential stability, Tick population dynamics model, time-varying delay",
author = "Chuangxia Huang and Xiaojin Guo and Jinde Cao and Ardak Kashkynbayev",
note = "Funding Information: This work is partially supported by the National Natural Science Foundation of China (No. 11971076), the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan Grant OR11466188 ( Dynamical Analysis and Synchronization of Complex Neural Networks with Its Applications ), Nazarbayev University under Collaborative Research Program (No. 11022021CRP1509), the Postgraduate Scientific Research Innovation Project of Hunan Province (No. CX20210818) and Jiaxing public welfare research program (No. 2022AD30113). ∗ Corresponding author: Chuangxia Huang and Jinde Cao. Publisher Copyright: {\textcopyright} 2022 American Institute of Mathematical Sciences. All rights reserved.",
year = "2022",
month = nov,
doi = "10.3934/dcdss.2022122",
language = "English",
volume = "15",
pages = "3173--3188",
journal = "Discrete and Continuous Dynamical Systems - Series S",
issn = "1937-1632",
publisher = "American Institute of Mathematical Sciences",
number = "11",
}