Open AccessAttractivity criterion on a delayed tick population dynamics equation with a reproductive function $ f(u) = ru^{\gamma}e^{-\sigma u} $
Author(s) -
Fawaz E. Alsaadi,
Chuangxia Huang,
Madini O. Alassafi,
Reem Alotaibi,
Adil M. Ahmad,
Jinde Cao
Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022600
Subject(s) - mathematics , lemma (botany) , scalar (mathematics) , population , dynamics (music) , lag , sigma , statistical physics , physics , computer science , ecology , computer network , geometry , poaceae , demography , quantum mechanics , sociology , acoustics , biology
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.