Add to ORKGAbstract. In this paper, a class of delayed epidemic model with diffusion is investigated. By analyzing the associated characteristic transcenden-tal equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulation are also carried out to sup-port our analytical findings. Finally, biological explanations and main conclusions are given. 1
The aim of this paper is to study the steady states of the mathematical models with delay kernels wh...
In this paper, a vector-borne disease model with two delays and reinfection is established and consi...
In this paper, first a third degree transcendental polynomial is studied and the distribution of its...
Epidemic models are normally used to describe the spread of infectious diseases. In this paper, we w...
A SIS epidemic model proposed by Cooke et al. [2] is investigated. Using time delay as the control p...
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 ...
We study stability and Hopf bifurcation analysis of a model that refers to the competition between t...
We study stability and Hopf bifurcation analysis of a model that refers to the competition between t...
We study stability and Hopf bifurcation analysis of a model that refers to the competition between t...
A diffusive epidemic model with two delays subjecting to Neumann boundary conditions is considered. ...
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and...
Abstract In this paper, we analyze a delayed SEIR epidemic model in which the latent and infected st...
We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed r...
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...
In this paper, a vector-borne disease model with two delays and reinfection is established and consi...
In this paper, first a third degree transcendental polynomial is studied and the distribution of its...
Epidemic models are normally used to describe the spread of infectious diseases. In this paper, we w...
A SIS epidemic model proposed by Cooke et al. [2] is investigated. Using time delay as the control p...
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 ...
We study stability and Hopf bifurcation analysis of a model that refers to the competition between t...
We study stability and Hopf bifurcation analysis of a model that refers to the competition between t...
We study stability and Hopf bifurcation analysis of a model that refers to the competition between t...
A diffusive epidemic model with two delays subjecting to Neumann boundary conditions is considered. ...
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and...
Abstract In this paper, we analyze a delayed SEIR epidemic model in which the latent and infected st...
We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed r...
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...
In this paper, a vector-borne disease model with two delays and reinfection is established and consi...
In this paper, first a third degree transcendental polynomial is studied and the distribution of its...