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

Fawaz E. Alsaadi | Zendy; Chuangxia Huang | Zendy; Madini O. Alassafi | Zendy; Reem Alotaibi | Zendy; Adil M. Ahmad | Zendy; Jinde Cao | Zendy

Open Access

Attractivity 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.

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