A Study on the Specialist Predator with the Allee Effect on the Prey
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910854537019392 |
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| author | Das, Tanmay Mandal, Mahatsab |
| author_facet | Das, Tanmay Mandal, Mahatsab |
| contents | Predator-prey models in theoretical ecology have a long and complex history, spanning decades of research. Most of the models rely upon simple reproduction and mortality rates associated with different types of functional responses. A key development in this field occurred with the introduction of a density dependent reproduction rate, originally introduced by Allee. In this manuscript, a new function representing the Allee effect is introduced and justified from the ecological point of view. This paper aims to analyze predator-prey models incorporating Holling type-I and II functional responses, influenced by this new Allee function. A rich dynamics shows up in the presence of the said function, including the emergence of the limit cycles through the Hopf bifurcation for a particular parameter domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Study on the Specialist Predator with the Allee Effect on the Prey Das, Tanmay Mandal, Mahatsab Populations and Evolution Dynamical Systems Predator-prey models in theoretical ecology have a long and complex history, spanning decades of research. Most of the models rely upon simple reproduction and mortality rates associated with different types of functional responses. A key development in this field occurred with the introduction of a density dependent reproduction rate, originally introduced by Allee. In this manuscript, a new function representing the Allee effect is introduced and justified from the ecological point of view. This paper aims to analyze predator-prey models incorporating Holling type-I and II functional responses, influenced by this new Allee function. A rich dynamics shows up in the presence of the said function, including the emergence of the limit cycles through the Hopf bifurcation for a particular parameter domain. |
| title | A Study on the Specialist Predator with the Allee Effect on the Prey |
| topic | Populations and Evolution Dynamical Systems |
| url | https://arxiv.org/abs/2503.01250 |