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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2021-07-01
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Series: | Advances in Difference Equations |
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Online Access: | https://doi.org/10.1186/s13662-021-03521-7 |
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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 |
work_keys_str_mv |
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