Asymptotic behavior of a solution of the non-autonomous logistic stochastic differential equation

Asymptotic properties of the parabolic equation driven by stochastic measure

“…The asymptotic behavior of the moments of solutions of a stochastic differential system driven by a Brownian motion was considered in [5]. The problem of the convergence of the solution of a nonautonomous logistic differential equation to zero as time coordinate goes to infinity, with disturbance of coefficients by white noise, centered and noncentered Poisson noises, was studied in [4]. Asymptotics of the solution of the stochastic heat equation with white noise, as time variable goes to infinity for the fixed spatial coordinate, was studied in [10] while asymptotic properties of the solution of the stochastic wave equation driven by a Lévy process were given in [7].…”

Stochastic two-species mutualism model with jumps

“…To the best of our knowledge, there are no papers devoted to the dynamical properties of the stochastic mutualism model (2), even in the case of the centered Poisson noise. It is worth noting that the impact of the centered and noncentered Poisson noises to the stochastic nonautonomous logistic model is studied in the papers by O.D.…”