Geodesic
Fractional order prey-predator model with infected predators in the presence of competition and toxicity
M. R. Lemnaouar1 ; M. Khalfaoui1 ; Y. Louartassi1, 2 ; I. Tolaimate1
1 Mohammed V University in Rabat, Superior School of Technology Salé, LASTIMI, Salé, Morocco.
2 Mohammed V University in Rabat, Faculty of Science, Lab-Mia, Rabat, Morocco.
Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 38.

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In this paper, we propose a fractional-order prey-predator model with reserved area in the presence of the toxicity and competition. We prove different mathematical results like existence, uniqueness, non negativity and boundedness of the solution for our model. Further, we discuss the local and global stability of these equilibria. Finally, we perform numerical simulations to prove our results.
DOI : 10.1051/mmnp/2020002

M. R. Lemnaouar 1 ; M. Khalfaoui 1 ; Y. Louartassi 1, 2 ; I. Tolaimate 1

1 Mohammed V University in Rabat, Superior School of Technology Salé, LASTIMI, Salé, Morocco.
2 Mohammed V University in Rabat, Faculty of Science, Lab-Mia, Rabat, Morocco. 
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M. R. Lemnaouar; M. Khalfaoui; Y. Louartassi; I. Tolaimate. Fractional order prey-predator model with infected predators in the presence of competition and toxicity. Mathematical modelling of natural phenomena, Tome 15 (2020), article  no. 38. doi : 10.1051/mmnp/2020002. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/2020002/

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