We extend the transmission rate to nonlinear orders and show that S+I+R is still attractive. When the nonlinearity order is greater than 1, we show that the basic reproduction number decreases as the recruitment increases. We provide the patterns of the stability of the equilibrium states.Keywords: transmission rate, SIR model, basic reproduction number, stability
Compartmental models in epidemiology characterize the spread of an infectious disease by formulating...
In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium ...
In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium ...
We consider a SIR epidemic model with saturated incidence rate and treatment. We show that if the b...
We consider a SIR epidemic model with saturated incidence rate and treatment. We show that if the ba...
AbstractStability of SIR models has been studied extensively within the framework of disease epidemi...
In this paper we present an SIR model for disease transmission with an assumption that individuals i...
The transmission of infectious diseases has been studied by mathematical methods since 1760s, among ...
We investigate a stochastic SIRS model with transfer from infectious to susceptible and nonlinear in...
AbstractStability of SIR models has been studied extensively within the framework of disease epidemi...
The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptibl...
We propose an SIR epidemic model with different susceptibilities and nonlinear incidence rate. First...
AbstractIn this paper, we introduce a basic reproduction number for a multigroup epidemic model with...
In this article, we study an SIR model with nonlinear incidence rate. By defining the Filippov solu...
This paper presents an investigation on the dynamics of an epidemic model with vital dynamics and a ...
Compartmental models in epidemiology characterize the spread of an infectious disease by formulating...
In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium ...
In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium ...
We consider a SIR epidemic model with saturated incidence rate and treatment. We show that if the b...
We consider a SIR epidemic model with saturated incidence rate and treatment. We show that if the ba...
AbstractStability of SIR models has been studied extensively within the framework of disease epidemi...
In this paper we present an SIR model for disease transmission with an assumption that individuals i...
The transmission of infectious diseases has been studied by mathematical methods since 1760s, among ...
We investigate a stochastic SIRS model with transfer from infectious to susceptible and nonlinear in...
AbstractStability of SIR models has been studied extensively within the framework of disease epidemi...
The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptibl...
We propose an SIR epidemic model with different susceptibilities and nonlinear incidence rate. First...
AbstractIn this paper, we introduce a basic reproduction number for a multigroup epidemic model with...
In this article, we study an SIR model with nonlinear incidence rate. By defining the Filippov solu...
This paper presents an investigation on the dynamics of an epidemic model with vital dynamics and a ...
Compartmental models in epidemiology characterize the spread of an infectious disease by formulating...
In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium ...
In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium ...
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