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Fractional order prey-predator model with infected predators in the presence of competition and toxicity

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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… Click to show full abstract

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.

Keywords: prey predator; fractional order; order prey; model; predator model

Journal Title: Mathematical Modelling of Natural Phenomena
Year Published: 2020

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