Attractivity criterion on a delayed tick population dynamics equation with a reproductive function $ f(u) = ru^{\gamma}e^{-\sigma u} $

Autor: Fawaz E Alsaadi, Chuangxia Huang, Madini O Alassafi, Reem M Alotaibi, Adil M Ahmad, Jinde Cao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 19, Iss 12, Pp 12852-12865 (2022)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2022600?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals