Qualitative analysis of stochastic fish farm model with mussel population
by C. Gokila; M. Sambath
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 11, No. 5/6, 2021

Abstract: In this paper, we analyse the dynamics of the fish farm model with the mussel population. For the stochastic systems, we establish the existence of globally positive solutions and we find the conditions for species to be extinct and the appearance of species. Construct appropriate Lyapunov functions and discuss the global asymptotic stability of a positive equilibrium solution. Also, we illustrate the condition for the existence of stationary distribution. To check our theoretical findings, some numerical simulations are worked out.

Online publication date: Wed, 05-Jan-2022

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