Predation-induced dispersal toward fitness for predator invasion in predator–prey models
In this paper, we consider a predator–prey model with nonuniform predator dispersal, called predation-induced dispersal (PID), which represents predator motility depending on the maximal predation rate and the predator death rate in a spatially heterogeneous region. We study the local stability of t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2023.2166133 |
| _version_ | 1797331582478974976 |
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| author | Wonhyung Choi Kwangjoong Kim Inkyung Ahn |
| author_facet | Wonhyung Choi Kwangjoong Kim Inkyung Ahn |
| author_sort | Wonhyung Choi |
| collection | DOAJ |
| description | In this paper, we consider a predator–prey model with nonuniform predator dispersal, called predation-induced dispersal (PID), which represents predator motility depending on the maximal predation rate and the predator death rate in a spatially heterogeneous region. We study the local stability of the semitrivial steady state when predators are absent for models with PID and linear dispersal. We then investigate the local/global bifurcation from the semitrivial steady state of these models. Finally, we compare the results of the model with PID to the results of the model with linear dispersal. We conclude that the nonuniform dispersal of predators obeying PID increases fitness for predator invasion when rare; thus, predators with PID can invade a region with an increased probability even in cases wherein predators dispersed linearly cannot invade a certain region. Based on the results, we provide an ecological interpretation with the simulations. |
| first_indexed | 2024-03-08T07:36:33Z |
| format | Article |
| id | doaj.art-cae130d3c408431e97fbf03f55d09bcb |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-03-08T07:36:33Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-cae130d3c408431e97fbf03f55d09bcb2024-02-02T18:51:34ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662023-12-0117110.1080/17513758.2023.2166133Predation-induced dispersal toward fitness for predator invasion in predator–prey modelsWonhyung Choi0Kwangjoong Kim1Inkyung Ahn2Department of Mathematics, Korea University, Sejong, Republic of KoreaCollege of General Education, Kookmin University, Seoul, Republic of KoreaDepartment of Mathematics, Korea University, Sejong, Republic of KoreaIn this paper, we consider a predator–prey model with nonuniform predator dispersal, called predation-induced dispersal (PID), which represents predator motility depending on the maximal predation rate and the predator death rate in a spatially heterogeneous region. We study the local stability of the semitrivial steady state when predators are absent for models with PID and linear dispersal. We then investigate the local/global bifurcation from the semitrivial steady state of these models. Finally, we compare the results of the model with PID to the results of the model with linear dispersal. We conclude that the nonuniform dispersal of predators obeying PID increases fitness for predator invasion when rare; thus, predators with PID can invade a region with an increased probability even in cases wherein predators dispersed linearly cannot invade a certain region. Based on the results, we provide an ecological interpretation with the simulations.https://www.tandfonline.com/doi/10.1080/17513758.2023.2166133Predation-induced diffusionevolution of dispersallocal stabilityglobal bifurcation35K5792D25 |
| spellingShingle | Wonhyung Choi Kwangjoong Kim Inkyung Ahn Predation-induced dispersal toward fitness for predator invasion in predator–prey models Journal of Biological Dynamics Predation-induced diffusion evolution of dispersal local stability global bifurcation 35K57 92D25 |
| title | Predation-induced dispersal toward fitness for predator invasion in predator–prey models |
| title_full | Predation-induced dispersal toward fitness for predator invasion in predator–prey models |
| title_fullStr | Predation-induced dispersal toward fitness for predator invasion in predator–prey models |
| title_full_unstemmed | Predation-induced dispersal toward fitness for predator invasion in predator–prey models |
| title_short | Predation-induced dispersal toward fitness for predator invasion in predator–prey models |
| title_sort | predation induced dispersal toward fitness for predator invasion in predator prey models |
| topic | Predation-induced diffusion evolution of dispersal local stability global bifurcation 35K57 92D25 |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2023.2166133 |
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