Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey
In this manuscript, we study a Leslie–Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identify regions in the parameter space in which differen...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-01-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2021.731038/full |
| _version_ | 1819243144228634624 |
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| author | Claudio Arancibia-Ibarra Claudio Arancibia-Ibarra José D. Flores Peter van Heijster |
| author_facet | Claudio Arancibia-Ibarra Claudio Arancibia-Ibarra José D. Flores Peter van Heijster |
| author_sort | Claudio Arancibia-Ibarra |
| collection | DOAJ |
| description | In this manuscript, we study a Leslie–Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identify regions in the parameter space in which different kinds of bifurcations, such as saddle-node bifurcations, Hopf bifurcations and Bogdanov–Takens bifurcations. |
| first_indexed | 2024-12-23T14:51:01Z |
| format | Article |
| id | doaj.art-3e69e095595c4fd6bd1fecf99efea01f |
| institution | Directory Open Access Journal |
| issn | 2297-4687 |
| language | English |
| last_indexed | 2024-12-23T14:51:01Z |
| publishDate | 2022-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj.art-3e69e095595c4fd6bd1fecf99efea01f2022-12-21T17:42:56ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872022-01-01710.3389/fams.2021.731038731038Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the PreyClaudio Arancibia-Ibarra0Claudio Arancibia-Ibarra1José D. Flores2Peter van Heijster3School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, AustraliaFacultad de Ingeniería y Negocios, Universidad de Las Américas, Santiago, ChileDepartment of Mathematics, The University of South Dakota, Vermillion, SD, United StatesBiometris, Wageningen University and Research, Wageningen, NetherlandsIn this manuscript, we study a Leslie–Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identify regions in the parameter space in which different kinds of bifurcations, such as saddle-node bifurcations, Hopf bifurcations and Bogdanov–Takens bifurcations.https://www.frontiersin.org/articles/10.3389/fams.2021.731038/fullLeslie–Gower modelweak Allee effectHolling type IIbifurcationsnumerical simulation |
| spellingShingle | Claudio Arancibia-Ibarra Claudio Arancibia-Ibarra José D. Flores Peter van Heijster Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey Frontiers in Applied Mathematics and Statistics Leslie–Gower model weak Allee effect Holling type II bifurcations numerical simulation |
| title | Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey |
| title_full | Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey |
| title_fullStr | Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey |
| title_full_unstemmed | Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey |
| title_short | Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey |
| title_sort | stability analysis of a modified leslie gower predation model with weak allee effect in the prey |
| topic | Leslie–Gower model weak Allee effect Holling type II bifurcations numerical simulation |
| url | https://www.frontiersin.org/articles/10.3389/fams.2021.731038/full |
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