Stochastic Analysis of an Eco-Epidemic Model with Biological Control

Debasis Mukherjee ()
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Debasis Mukherjee: Vivekananda College

Methodology and Computing in Applied Probability, 2022, vol. 24, issue 4, 2539-2555

Abstract: 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.

Keywords: Eco-epidemic model; Stochastic perturbations; It $$\widehat{{o}}$$ o ^ 's formula; Stability (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11009-022-09947-0

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