On Models of Population Evolution of Three Interacting Species

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Abstract: In this paper, we first analyzed several basic population dynamics models interpreting the relationships between three species. These are the May-Leonard model with three competitors, some prey-predator models of three-species and a prey-predator model with a super-predator. Subsequently, in our work, we proposed a new three-species model consisting of a prey, a predator and a superpredator, including some important assumptions such as competition, self-defense and infected prey. We examined the various equilibrium points of proposed model, and determined the conditions for extinction and survival of species in the long term. Finally, we performed numerical illustrations using Maltlab software to corroborate the theoretical results.

International Journal of Applied Mathematics, Computational Science and Systems Engineering, E-ISSN: 2766-9823, Volume 6, 2024, Art. #17

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Thierry Bi Boua Lagui, Seydou Traore, Mouhamadou Dosso, "On Models of Population Evolution of Three Interacting Species," International Journal of Applied Mathematics, Computational Science and Systems Engineering, vol. 6, pp. 193-223, 2024, DOI:10.37394/232026.2024.6.17
Thierry Bi Boua Lagui, Seydou Traore, Mouhamadou Dosso. On Models of Population Evolution of Three Interacting Species. International Journal of Applied Mathematics, Computational Science and Systems Engineering. 2024;6:193-223. 10.37394/232026.2024.6.17
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