The Lotka-Volterra Predator-Prey Model with Disturbance
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912642155675648 |
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| author | Ogethakpo, Arhonefe Joseph Ojobor, Sunday Amaju |
| author_facet | Ogethakpo, Arhonefe Joseph Ojobor, Sunday Amaju |
| contents | The forces which drive growth, development, survival and change within an ecological system involving a predator and prey specie are not easily addressed in the field. To better understand the dynamics in the system, ecologists have turned to mathematical models. The predator-prey dynamics of rat and cat population in a given ecology is studied. The mathematical model proposed by Alfred J. Lotka and Vito Volterra called the Lotka-Volterra model for studying predator-prey dynamics is utilized. Assumptions were made to suit the given ecology. These assumptions lead to the modification of the Lotka-Volterra equations. The equilibrium and stability properties of the modified model is established. Results were simulated using MATLAB. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09628 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Lotka-Volterra Predator-Prey Model with Disturbance Ogethakpo, Arhonefe Joseph Ojobor, Sunday Amaju General Mathematics The forces which drive growth, development, survival and change within an ecological system involving a predator and prey specie are not easily addressed in the field. To better understand the dynamics in the system, ecologists have turned to mathematical models. The predator-prey dynamics of rat and cat population in a given ecology is studied. The mathematical model proposed by Alfred J. Lotka and Vito Volterra called the Lotka-Volterra model for studying predator-prey dynamics is utilized. Assumptions were made to suit the given ecology. These assumptions lead to the modification of the Lotka-Volterra equations. The equilibrium and stability properties of the modified model is established. Results were simulated using MATLAB. |
| title | The Lotka-Volterra Predator-Prey Model with Disturbance |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2510.09628 |