So by the addition of diffusion terms and initial-boundary value to the ordinary differential SEIS epidemic model,we study the corresponding diffusion model systematically.

Dynamical behaviors of the SEIS model for the transmission an infectious desease that spreads in a population throught direct contact of hosts is studied.

An SEIS model that incorporates saturating incidence and the disease infectivity in the latency is established and analysed.

A epidemic model with time delay and diffusion;

Ecology-epidemic model considering effective contact rate dependent on total number of persons;

Analyses of a SIS epidemic model with nonlinear incidence rate;

In this paper,the well-posedness of the solution to infectious disease model with Non-lifelong immunity is discussed.

The space periodic solution and chaos of a class of infectious disease model are discussed in this paper.

A mathematical model formulating the transmission of infectious disease via some vector is established,which is an SIS type of infectious disease model with distribution delay.

The Study for Several Epidemic Models with a Varying Total Population Size;

We discuss the epidemic models with impulsive vaccination and age of infection.

This paper discussed the SIQV epidemic models with impulsive vaccination and impulsive quarantine.

An extended dynamic model for SARS epidemic was deduced on the basis of the K_M infection model with taking the density constraint of susceptible population and the cure and death rate of patients into consideration.

The latent and immunity period of inflection can be reflected by the infection model with delay,and more studies pay attention to them.

This paper analyzes the technology innovation diffusion and absorption in technology innovation networks,imitates technology innovation diffusion and absorption progress by Infection Model and Cigarette Model,which directly displays the relationship of influent factors,then offers a new way to research these problems using fixed quantity method.