A SIS epidemic model proposed by Cooke et al. [2] is investigated. Using time delay as the control parameter, we investigate the stability and Hopf bifurcation of the model by analyzing the distribution of the roots of its associated charac-teristic equation. Then an explicit formula for determining the stability and the direction of bifurcating periodic solutions is derived by normal form theory and center manifold argument. Finally, some numerical simulations are carried out as supporting evidences of our analytic results.
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and...
In this paper, a vector-borne disease model with two delays and reinfection is established and consi...
Epidemic models are normally used to describe the spread of infectious diseases. In this paper, we w...
In this paper, a delayed SIS (Susceptible Infectious Susceptible) model with stage structure is inv...
A delayed epidemic model with nonlinear incidence rate which depends on the ratio of the numbers of ...
Abstract. In this paper, a class of delayed epidemic model with diffusion is investigated. By analyz...
We propose a delayed SIR model with saturated incidence rate. The delay is incorporated into the...
Abstract In this paper, we analyze a delayed SEIR epidemic model in which the latent and infected st...
AbstractThis paper deals with the model for matured population growth proposed in Cooke et al. [Inte...
In this paper, first a third degree transcendental polynomial is studied and the distribution of its...
To understand the interaction between the insects and the plants, a system of delay differential equ...
A fractional-order epidemic model with time delay is considered. Firstly, stability of the disease-f...
The aim of this paper is to study the steady states of the mathematical models with delay kernels wh...
The aim of this paper is to study the steady states of the mathematical models with delay kernels wh...
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and...
In this paper, a vector-borne disease model with two delays and reinfection is established and consi...
Epidemic models are normally used to describe the spread of infectious diseases. In this paper, we w...
In this paper, a delayed SIS (Susceptible Infectious Susceptible) model with stage structure is inv...
A delayed epidemic model with nonlinear incidence rate which depends on the ratio of the numbers of ...
Abstract. In this paper, a class of delayed epidemic model with diffusion is investigated. By analyz...
We propose a delayed SIR model with saturated incidence rate. The delay is incorporated into the...
Abstract In this paper, we analyze a delayed SEIR epidemic model in which the latent and infected st...
AbstractThis paper deals with the model for matured population growth proposed in Cooke et al. [Inte...
In this paper, first a third degree transcendental polynomial is studied and the distribution of its...
To understand the interaction between the insects and the plants, a system of delay differential equ...
A fractional-order epidemic model with time delay is considered. Firstly, stability of the disease-f...
The aim of this paper is to study the steady states of the mathematical models with delay kernels wh...
The aim of this paper is to study the steady states of the mathematical models with delay kernels wh...
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and...
In this paper, a vector-borne disease model with two delays and reinfection is established and consi...