A Fractional-Order Leslie-Gower Model with Fear and Allee Effect
In this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in the prey and Allee effect in predators. Firstly, all possible equilibrium points are analyzed by identifying the conditions of their existence and local stability. Here, we...
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2023-05-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17336 |
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| author | Adin Lazuardy Firdiansyah Dewi Rosikhoh |
| author_facet | Adin Lazuardy Firdiansyah Dewi Rosikhoh |
| author_sort | Adin Lazuardy Firdiansyah |
| collection | DOAJ |
| description | In this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in the prey and Allee effect in predators. Firstly, all possible equilibrium points are analyzed by identifying the conditions of their existence and local stability. Here, we find four equilibrium points, where two local stable points and two unstable points. Furthermore, we also investigate the stability changing caused by Hopf bifurcation when the order of derivative changes. Finally, we perform several simulations to support our analysis results. |
| format | Article |
| id | doaj-art-5870083ca88544649a151f3777687a57 |
| institution | Kabale University |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-5870083ca88544649a151f3777687a572025-08-20T03:48:30ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442023-05-017452153410.18860/ca.v7i4.173367012A Fractional-Order Leslie-Gower Model with Fear and Allee EffectAdin Lazuardy Firdiansyah0Dewi Rosikhoh1State Islamic Institute of Madura, PamekasanState Islamic Institute of Madura, PamekasanIn this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in the prey and Allee effect in predators. Firstly, all possible equilibrium points are analyzed by identifying the conditions of their existence and local stability. Here, we find four equilibrium points, where two local stable points and two unstable points. Furthermore, we also investigate the stability changing caused by Hopf bifurcation when the order of derivative changes. Finally, we perform several simulations to support our analysis results.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17336hopf bifurcationleslie-gower modellocal stability |
| spellingShingle | Adin Lazuardy Firdiansyah Dewi Rosikhoh A Fractional-Order Leslie-Gower Model with Fear and Allee Effect Cauchy: Jurnal Matematika Murni dan Aplikasi hopf bifurcation leslie-gower model local stability |
| title | A Fractional-Order Leslie-Gower Model with Fear and Allee Effect |
| title_full | A Fractional-Order Leslie-Gower Model with Fear and Allee Effect |
| title_fullStr | A Fractional-Order Leslie-Gower Model with Fear and Allee Effect |
| title_full_unstemmed | A Fractional-Order Leslie-Gower Model with Fear and Allee Effect |
| title_short | A Fractional-Order Leslie-Gower Model with Fear and Allee Effect |
| title_sort | fractional order leslie gower model with fear and allee effect |
| topic | hopf bifurcation leslie-gower model local stability |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17336 |
| work_keys_str_mv | AT adinlazuardyfirdiansyah afractionalorderlesliegowermodelwithfearandalleeeffect AT dewirosikhoh afractionalorderlesliegowermodelwithfearandalleeeffect AT adinlazuardyfirdiansyah fractionalorderlesliegowermodelwithfearandalleeeffect AT dewirosikhoh fractionalorderlesliegowermodelwithfearandalleeeffect |