Dynamics of the Predator-Prey Model with Beddington-DeAngelis Functional Response Perturbed by Lévy Noise

  • Olga Borysenko Department of Mathematical Physics, National Technical University of Ukraine, Kyiv, Ukraine
  • Oleksandr Borysenko Taras Shevchenko National University of Kyiv,
DOI: https://doi.org/10.19139/soic-2310-5070-1189
Keywords: Non-autonomous, Stochastic Predator-Prey Model, Beddington-DeAngelies Functional Response, Stochastic Ultimate Boundedness, Stochastic Permanence, Non-Persistence in the Mean, Weak and Strong Persistence in the Mean, Extinction

Abstract

We study the non-autonomous stochastic predator-prey model with Beddington-DeAngelies functional response driven by the system of stochastic differential equations with white noise, centered and non-centered Poisson noises. It is proved the existence and uniqueness of the global positive solution of considered system. We obtain sufficient conditions of stochastic ultimate boundedness, stochastic permanence, non-persistence in the mean, weak and strong persistence in the mean and extinction of the population densities in the considered stochastic predator-prey model.

Author Biography

Oleksandr Borysenko, Taras Shevchenko National University of Kyiv,
Department of Probability Theory, Statistics and Actuarial Mathematics, Docent

References

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Published
2022-11-28
How to Cite
Borysenko, O., & Borysenko, O. (2022). Dynamics of the Predator-Prey Model with Beddington-DeAngelis Functional Response Perturbed by Lévy Noise. Statistics, Optimization & Information Computing, 11(2), 465-478. https://doi.org/10.19139/soic-2310-5070-1189
Issue
Vol 11 No 2 (2023)
Section
Research Articles
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