| Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Ecology and evolution
|
|
|---|---|---|
| Article Number | 38 | |
| Number of page(s) | 16 | |
| DOI | https://doi.org/10.1051/mmnp/2020002 | |
| Published online | 14 August 2020 | |
Fractional order prey-predator model with infected predators in the presence of competition and toxicity
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.
* Corresponding author: ylouartassi@gmail.com
Received:
4
August
2019
Accepted:
7
February
2020
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.
Mathematics Subject Classification: 26A33 / 34A08 / 34K37
Key words: Prey–predator system / toxicity / equilibria / stability / competition / fractional order
© The authors. Published by EDP Sciences, 2020
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