Add to ORKGwhich permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper considers an SIRS model with nonlinear incidence rate and treatment. It is assumed that susceptible and infectious individuals have constant immigration rates. We investigate the existence of equilibrium and prove the global asymptotical stable results of the endemic equilibrium. We then obtained that the model undergoes a Hopf bifurcation and existences a limit cycle. Some numerical simulations are given to illustrate the analytical results. 1
We study a delayed SIR epidemic model and get the threshold value which determines the global dynami...
In this paper we consider the impact of the form of the non-linearity of the infectious disease inci...
In this paper, we give the global dynamical behaviors of a reduced SIRS epidemic model with a nonlin...
This paper considers an SIRS model with nonlinear incidence rate and treatment. It is assumed that s...
In this paper, global dynamics of an SIR model are investigated in which the incidence rate is being...
In this paper, we discuss the global dynamics of a general susceptible-infected-recovered-susceptibl...
In this article, we study an SIR model with nonlinear incidence rate. By defining the Filippov solu...
In this article, we establish the global asymptotic stability of a disease-free equilibrium and an e...
AbstractStability of SIR models has been studied extensively within the framework of disease epidemi...
A new epidemiological model is introduced with nonlinear incidence, in which the infected disease ma...
In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epid...
The transmission of infectious diseases has been studied by mathematical methods since 1760s, among ...
We consider a SIR epidemic model with saturated incidence rate and treatment. We show that if the ba...
A basic simple SIS epidemic model is proposed and analyzed. The population is infected by a transmis...
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and t...
We study a delayed SIR epidemic model and get the threshold value which determines the global dynami...
In this paper we consider the impact of the form of the non-linearity of the infectious disease inci...
In this paper, we give the global dynamical behaviors of a reduced SIRS epidemic model with a nonlin...
This paper considers an SIRS model with nonlinear incidence rate and treatment. It is assumed that s...
In this paper, global dynamics of an SIR model are investigated in which the incidence rate is being...
In this paper, we discuss the global dynamics of a general susceptible-infected-recovered-susceptibl...
In this article, we study an SIR model with nonlinear incidence rate. By defining the Filippov solu...
In this article, we establish the global asymptotic stability of a disease-free equilibrium and an e...
AbstractStability of SIR models has been studied extensively within the framework of disease epidemi...
A new epidemiological model is introduced with nonlinear incidence, in which the infected disease ma...
In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epid...
The transmission of infectious diseases has been studied by mathematical methods since 1760s, among ...
We consider a SIR epidemic model with saturated incidence rate and treatment. We show that if the ba...
A basic simple SIS epidemic model is proposed and analyzed. The population is infected by a transmis...
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and t...
We study a delayed SIR epidemic model and get the threshold value which determines the global dynami...
In this paper we consider the impact of the form of the non-linearity of the infectious disease inci...
In this paper, we give the global dynamical behaviors of a reduced SIRS epidemic model with a nonlin...