A fractional order for prey-predator model with reserve area in the presence of toxicity

Abstract

In this article, a fractional prey-predator model with a reserve zone in the absence of toxicity. We prove different mathematical results such as the existence, the uniqueness, the non-negativity and the bournitude of the solution for our model. In addition, we analyze the different types of stability of these equilibria. Finally, we performed numerical simulations to ensure our results.