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

2022

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DOI 10.3934/dcdss.2022122
Data confidence 70 medium
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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.