Dynamical behavior of a fractional-order prey–predator model with infection and harvesting

Dynamical behavior of a fractional-order prey–predator model with infection and harvesting

This article is concerned with a fractional-order prey-predator model with disease in predator species and prey harvesting. The nonlinear incidence rate and Monod-Haldane functional response for interactions between species are considered. Some preliminary results are established. Sufficient conditi...

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Main Authors: Moustafa, Mahmoud, Abdullah, Farah Aini, Shafie, Sharidan
Format: Article
Published: Springer 2022
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/102877/
http://dx.doi.org/10.1007/s12190-022-01728-9
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Institution: Universiti Teknologi Malaysia
id my.utm.102877
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spelling my.utm.1028772023-09-25T01:50:46Z http://eprints.utm.my/id/eprint/102877/ Dynamical behavior of a fractional-order prey–predator model with infection and harvesting Moustafa, Mahmoud Abdullah, Farah Aini Shafie, Sharidan QA Mathematics This article is concerned with a fractional-order prey-predator model with disease in predator species and prey harvesting. The nonlinear incidence rate and Monod-Haldane functional response for interactions between species are considered. Some preliminary results are established. Sufficient conditions are derived to ensure the stability of equilibrium points. The proposed fractional-order model is very sensitive to varying the fractional-order, prey harvesting and initial conditions. Numerical simulations are given to illustrate theoretical findings. Springer 2022 Article PeerReviewed Moustafa, Mahmoud and Abdullah, Farah Aini and Shafie, Sharidan (2022) Dynamical behavior of a fractional-order prey–predator model with infection and harvesting. Journal of Applied Mathematics and Computing, 68 (6). pp. 4777-4794. ISSN 1598-5865 http://dx.doi.org/10.1007/s12190-022-01728-9 DOI: 10.1007/s12190-022-01728-9
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Moustafa, Mahmoud
Abdullah, Farah Aini
Shafie, Sharidan
Dynamical behavior of a fractional-order prey–predator model with infection and harvesting
description This article is concerned with a fractional-order prey-predator model with disease in predator species and prey harvesting. The nonlinear incidence rate and Monod-Haldane functional response for interactions between species are considered. Some preliminary results are established. Sufficient conditions are derived to ensure the stability of equilibrium points. The proposed fractional-order model is very sensitive to varying the fractional-order, prey harvesting and initial conditions. Numerical simulations are given to illustrate theoretical findings.
format Article
author Moustafa, Mahmoud
Abdullah, Farah Aini
Shafie, Sharidan
author_facet Moustafa, Mahmoud
Abdullah, Farah Aini
Shafie, Sharidan
author_sort Moustafa, Mahmoud
title Dynamical behavior of a fractional-order prey–predator model with infection and harvesting
title_short Dynamical behavior of a fractional-order prey–predator model with infection and harvesting
title_full Dynamical behavior of a fractional-order prey–predator model with infection and harvesting
title_fullStr Dynamical behavior of a fractional-order prey–predator model with infection and harvesting
title_full_unstemmed Dynamical behavior of a fractional-order prey–predator model with infection and harvesting
title_sort dynamical behavior of a fractional-order prey–predator model with infection and harvesting
publisher Springer
publishDate 2022
url http://eprints.utm.my/id/eprint/102877/
http://dx.doi.org/10.1007/s12190-022-01728-9
_version_ 1778160795722448896

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