On persistence of a Nicholson-type system with multiple delays and nonlinear harvesting

An N-dimensional generalization of Nicholson’s equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired by previous results in this subject, we obtain sufficient conditions to guarantee strong and uniform persistence. Furth...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 67; p. 103609
Main Authors Amster, Pablo, Bondorevsky, Melanie
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2022
Subjects
Delay differential equations
Guiding functions
Nicholson’s equation
Periodic solutions
Topological degree
Uniform persistence
Guiding functions
Uniform persistence
Nicholson’s equation
Delay differential equations
Periodic solutions
Topological degree
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Summary:An N-dimensional generalization of Nicholson’s equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired by previous results in this subject, we obtain sufficient conditions to guarantee strong and uniform persistence. Furthermore, under extra suitable hypotheses we prove the existence of T-periodic solutions and, reversing the prior conditions in a convenient manner, we show that the zero is a global attractor.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2022.103609