A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach
The definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced. Although they are highly effective, most of them neglect certain relevant criteria such as the spatial and temporal di...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Computer Sciences & Mathematics Forum |
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| Online Access: | https://www.mdpi.com/2813-0324/7/1/50 |
| _version_ | 1827575155078987776 |
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| author | Yaya Youssouf Yaya |
| author_facet | Yaya Youssouf Yaya |
| author_sort | Yaya Youssouf Yaya |
| collection | DOAJ |
| description | The definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced. Although they are highly effective, most of them neglect certain relevant criteria such as the spatial and temporal distribution of the studied species. We introduced these criteria by coupling two models designed initially for collective dynamics. The first is for predator mobility and is a Vicsek-type model, and the second is a Brownian particle (BP) model for prey. We observed, as occurs in the classical models, periodic cycles of the densities of predators and prey. In this case, the period of oscillations depends on the collective dynamics parameters. |
| first_indexed | 2024-03-08T20:52:12Z |
| format | Article |
| id | doaj.art-d69025958d424893ac7cf95513bd2ba1 |
| institution | Directory Open Access Journal |
| issn | 2813-0324 |
| language | English |
| last_indexed | 2024-03-08T20:52:12Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computer Sciences & Mathematics Forum |
| spelling | doaj.art-d69025958d424893ac7cf95513bd2ba12023-12-22T14:02:11ZengMDPI AGComputer Sciences & Mathematics Forum2813-03242023-04-01715010.3390/IOCMA2023-14375A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles ApproachYaya Youssouf Yaya0Département de Mathématiques & Informatique, École Normale Supérieure de N’djaména, N’Djamena P.O. Box 2025, ChadThe definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced. Although they are highly effective, most of them neglect certain relevant criteria such as the spatial and temporal distribution of the studied species. We introduced these criteria by coupling two models designed initially for collective dynamics. The first is for predator mobility and is a Vicsek-type model, and the second is a Brownian particle (BP) model for prey. We observed, as occurs in the classical models, periodic cycles of the densities of predators and prey. In this case, the period of oscillations depends on the collective dynamics parameters.https://www.mdpi.com/2813-0324/7/1/50collective behaviorself-propelled particlesBrownian particlespredator–preyreaction–diffusionlimit cycle |
| spellingShingle | Yaya Youssouf Yaya A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach Computer Sciences & Mathematics Forum collective behavior self-propelled particles Brownian particles predator–prey reaction–diffusion limit cycle |
| title | A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach |
| title_full | A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach |
| title_fullStr | A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach |
| title_full_unstemmed | A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach |
| title_short | A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach |
| title_sort | predator prey model from a collective dynamics and self propelled particles approach |
| topic | collective behavior self-propelled particles Brownian particles predator–prey reaction–diffusion limit cycle |
| url | https://www.mdpi.com/2813-0324/7/1/50 |
| work_keys_str_mv | AT yayayoussoufyaya apredatorpreymodelfromacollectivedynamicsandselfpropelledparticlesapproach AT yayayoussoufyaya predatorpreymodelfromacollectivedynamicsandselfpropelledparticlesapproach |