On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms

On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms

Abstract In this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with harvesting terms. By means of the continuation coincidence degree theorem, a set of sufficient conditions, which ensure that there exists at le...

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Main Authors: Rajendiran Eswari, Jehad Alzabut, Mohammad Esmael Samei, Hui Zhou
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Advances in Difference Equations
Subjects:
Discrete Nicholson’s system
Variable delays
Continuation theorem
Periodic solution
Online Access:https://doi.org/10.1186/s13662-021-03521-7
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spelling doaj-83d293106c144e24964a826ca3b80ee92021-08-01T11:09:10ZengSpringerOpenAdvances in Difference Equations1687-18472021-07-012021111910.1186/s13662-021-03521-7On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting termsRajendiran Eswari0Jehad Alzabut1Mohammad Esmael Samei2Hui Zhou3Department of Mathematics, Bharathidasan UniversityDepartment of Mathematics and General Sciences, Prince Sultan UniversityDepartment of Mathematics, Bu-Ali Sina UniversitySchool of Mathematics, Hefei Normal UniversityAbstract In this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with harvesting terms. By means of the continuation coincidence degree theorem, a set of sufficient conditions, which ensure that there exists at least one positive periodic solution, are established. A numerical example with graphical simulation of the model is provided to examine the validity of the main results.https://doi.org/10.1186/s13662-021-03521-7Discrete Nicholson’s systemVariable delaysContinuation theoremPeriodic solution
collection DOAJ
language English
format Article
sources DOAJ
author Rajendiran Eswari
Jehad Alzabut
Mohammad Esmael Samei
Hui Zhou
spellingShingle Rajendiran Eswari
Jehad Alzabut
Mohammad Esmael Samei
Hui Zhou
On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms
Advances in Difference Equations
Discrete Nicholson’s system
Variable delays
Continuation theorem
Periodic solution
author_facet Rajendiran Eswari
Jehad Alzabut
Mohammad Esmael Samei
Hui Zhou
author_sort Rajendiran Eswari
title On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms
title_short On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms
title_full On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms
title_fullStr On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms
title_full_unstemmed On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms
title_sort on periodic solutions of a discrete nicholson’s dual system with density-dependent mortality and harvesting terms
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-07-01
description Abstract In this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with harvesting terms. By means of the continuation coincidence degree theorem, a set of sufficient conditions, which ensure that there exists at least one positive periodic solution, are established. A numerical example with graphical simulation of the model is provided to examine the validity of the main results.
topic Discrete Nicholson’s system
Variable delays
Continuation theorem
Periodic solution
url https://doi.org/10.1186/s13662-021-03521-7
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AT mohammadesmaelsamei onperiodicsolutionsofadiscretenicholsonsdualsystemwithdensitydependentmortalityandharvestingterms
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