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Stochastic Analysis of an Eco-Epidemic Model with Biological Control

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Abstract

This paper analyses a stochastic eco-epidemic model with biological control. The deterministic model is already investigated thoroughly and we mention here some important results. Here we demonstrate the nature of the limit cycle emerging through Hopf bifurcation which is not addressed before. Furthermore, we develop the stochastic model by introducing white noise in the deterministic system. The existence of a unique global positive solution and ultimate boundedness are examined for the stochastic model. Asymptotic mean square stability of the positive equilibrium point is discussed. Finally, numerical simulations are carried out to validate the results obtained.

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Acknowledgements

The author is grateful to the anonymous reviewer and the Associate Editor for their helpful comments and suggestions for improving the paper.

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This research received no specific grant from any funding agency in the public, commercial or not-for-profit sectors.

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  1. Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata, 700063, India

    Debasis Mukherjee

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  1. Debasis Mukherjee
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Correspondence to Debasis Mukherjee.

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Mukherjee, D. Stochastic Analysis of an Eco-Epidemic Model with Biological Control. Methodol Comput Appl Probab 24, 2539–2555 (2022). https://doi.org/10.1007/s11009-022-09947-0

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  • DOI: https://doi.org/10.1007/s11009-022-09947-0

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