AI Article Synopsis
- The article investigates how delays impact the dynamics of a scalar tick population model with two different types of delays.
- It develops criteria for ensuring the population remains persistent and positive over time, as well as conditions for global attractivity based on time lags.
- The findings are supported by simulation diagrams that validate the theoretical conclusions drawn in the study.
Article Abstract
The aim of this article is to analyze the delay influence on the attraction for a scalar tick population dynamics equation accompanying two disparate delays. Taking advantage of the fluctuation lemma and some dynamic inequalities, we derive a criterion to assure the persistence and positiveness on the considered model. Furthermore, a time-lag-dependent condition is proposed to insure the global attractivity for the addressed model. Besides, we give some simulation diagrams to substantiate the validity of the theoretical outcomes.
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| http://dx.doi.org/10.3934/mbe.2022600 | DOI Listing |
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