The Itô versus Stratonovich controversy, about the" correct" calculus to use for integration of
Langevin equations, was settled to general satisfaction some 30 years ago. Recently …

In this paper, we investigate the threshold behaviour of a susceptible-infected-recovered
(SIR) epidemic model with stochastic perturbation. When the noise is small, we show that …

Stability conditions for functional differential equations can be obtained using Lyapunov
functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential …

In this paper, we include stochastic perturbations into SIR and SEIR epidemic models with
saturated incidence and investigate their dynamics according to the basic reproduction …

Asymptotic behavior of global positive solution to a stochastic SIR model - ScienceDirect Skip to
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This paper deals with the problem of a ratio-dependent predator–prey model. The
deterministic and stochastic behaviour of the model system around biologically feasible …

In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination.
When the noise is large, the infective decays exponentially to zero regardless of the …

In this paper, we discuss a multigroup SIR model with stochastic perturbation. We deduce
the globally asymptotic stability of the disease-free equilibrium when R0≤ 1, which means …

In this article, we discuss an SIR model with stochastic perturbation. We show that there is a
nonnegative solution that belongs to a positively invariant set. Then, by stochastic Lyapunov …

The paper aims to express the spontaneous regression and progression of a malignant
tumor system as a prey–predator like system. The model is a three dimensional deterministic …