Modelo Predador-Presa: uma aplicação de sistemas de equações diferenciais ordinárias
This work presents the interaction between prey and predator populations, using the Lotka-Volterra equations. Aiming to analyze the trajectories of the predator-prey system. For this purpose, we performed a bibliographic and exploratory research to acquire the necessary knowledge for the object o...
| Autor principal: | Carvalho, Cristh Júnior Pereira |
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| Grau: | Monografia |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Tocantins
2019
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| Assuntos: | |
| Acesso em linha: |
http://hdl.handle.net/11612/1370 |
| Resumo: |
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This work presents the interaction between prey and predator populations, using the
Lotka-Volterra equations. Aiming to analyze the trajectories of the predator-prey system.
For this purpose, we performed a bibliographic and exploratory research to acquire the
necessary knowledge for the object of study. Then, we present the general solution for
homogeneous linear systems, next we analyze the trajectories for five cases of eigenvalues.
We discuss autonomous systems and stability, non-linear systems, and finally we analyze
the predator-prey model, from which we obtain some information. |