Add to ORKGAbstract The objective of this paper is to explore the long time behavior of a stochastic SIR model. We establish a threshold condition called the basic reproduction number under stochastic perturbation for persistence or extinction of the disease. Especially, some numerical simulations are applied to support our theoretical results. MSC: 49K15, 60H10, 93E15
In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is stud...
The dynamics of deterministic and stochastic discrete-time epidemic models are analyzed and compared...
In this paper, we analyze a stochastic SIR epidemic model in a constant population with a relapse an...
In this paper, we consider a stochastic SIRS model with parameter perturbation, which is a standard ...
Abstract In this paper, stochastic effect on the spread of the infectious disease with saturated inc...
Abstract In this paper, we discuss the basic reproduction number of stochastic epidemic models with ...
In this paper, the dynamical behaviors for a stochastic SIRS epidemic model with nonlinear incidence...
In this paper, a stochastic susceptible-infected-removed-susceptible (SIRS) epidemic model in a popu...
AbstractIn this paper, we include stochastic perturbations into SIR and SEIR epidemic models with sa...
The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptibl...
... an ed f ne nis iste rtu th interacting populations. Namely, a model is either persistent despite...
In this paper, a stochastic SIRS epidemic model with saturating contact rate is constructed. First, ...
We extend the classical SIRS epidemic model incorporating media coverage from a deterministic framew...
Abstract In this paper, a new SIRS epidemic model which considers the influence of information inter...
We introduce stochasticity into an SIS epidemic model with vaccination. The stochasticity in the mod...
In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is stud...
The dynamics of deterministic and stochastic discrete-time epidemic models are analyzed and compared...
In this paper, we analyze a stochastic SIR epidemic model in a constant population with a relapse an...
In this paper, we consider a stochastic SIRS model with parameter perturbation, which is a standard ...
Abstract In this paper, stochastic effect on the spread of the infectious disease with saturated inc...
Abstract In this paper, we discuss the basic reproduction number of stochastic epidemic models with ...
In this paper, the dynamical behaviors for a stochastic SIRS epidemic model with nonlinear incidence...
In this paper, a stochastic susceptible-infected-removed-susceptible (SIRS) epidemic model in a popu...
AbstractIn this paper, we include stochastic perturbations into SIR and SEIR epidemic models with sa...
The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptibl...
... an ed f ne nis iste rtu th interacting populations. Namely, a model is either persistent despite...
In this paper, a stochastic SIRS epidemic model with saturating contact rate is constructed. First, ...
We extend the classical SIRS epidemic model incorporating media coverage from a deterministic framew...
Abstract In this paper, a new SIRS epidemic model which considers the influence of information inter...
We introduce stochasticity into an SIS epidemic model with vaccination. The stochasticity in the mod...
In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is stud...
The dynamics of deterministic and stochastic discrete-time epidemic models are analyzed and compared...
In this paper, we analyze a stochastic SIR epidemic model in a constant population with a relapse an...