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Stochastic predator–prey Lévy jump model with Crowley–Martin functional response and stage structure

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Abstract

This paper investigates the dynamics of the stochastic predator–prey model with a Crowley–Martin functional response function driven by Lévy noise. First, the existence, uniqueness and boundedness of a global positive solution is proven. Next, the persfor an optimal conditions. Finally, the theoretical results are reinforced by some numerical simulations. We illustrated the sufficient conditions to classify the dynamics of the stochastic predator–prey model.

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Authors and Affiliations

  1. Laboratory of Mathematics and Applications, Faculty of Sciences and Techniques Mohammedia, University Hassan II-Casablanca, PO Box 146, Mohammedia, Morocco

    Jaouad Danane

  2. Department of Mathematics and Informatics, National School of Applied Sciences of Berrechid, University Hassan First of Settat, Settat, Morocco

    Jaouad Danane

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  1. Jaouad Danane
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Danane, J. Stochastic predator–prey Lévy jump model with Crowley–Martin functional response and stage structure. J. Appl. Math. Comput. 67, 41–67 (2021). https://doi.org/10.1007/s12190-020-01490-w

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  • DOI: https://doi.org/10.1007/s12190-020-01490-w

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