proposed a reduced SEIR
scale-free network model and studied its stability.
system (7) we have that ([a.sub.1], [a.sub.2], [a.sub.3]) = ([gamma], [sigma], [beta])), then expansion around the equilibrium path yields
Stochastic pertubation has been studied by Yang and Mao ; they considered a multigroup SEIR
Teng, "On a nonautonomous SEIRS
model in epidemiology," Bulletin of Mathematical Biology, vol.
Kuniya, "Global dynamics of a class of SEIRS
epidemic models in a periodic environment," Journal of Mathematical Analysis and Applications, vol.
epidemic model with delay for transmission of malicious objects in computer network," Applied Mathematics and Computation, vol.
I have proposed the mathematical model in the form of SEIRS
for H1N1 virus.
The underlying infection model used in the simulation is conceptually a combination of the "Susceptible, Infective, Recovered, Susceptible" (11) and "Susceptible, Exposed, Infective, Recovered" (5) models (commonly known as SIRS and SEIR
In the present work, we focus on a family of SEIRS
epidemic models with a time periodic seasonal term, improving the model of Moneim and Greenhalgh in , by introducing an incidence rate with a general function taken from  and the references therein.
In this paper, we propose SEIR
epidemic model with media impact, which incorporates latent and relapse delays.
In , Nakata and Kuniya considered the following SEIRS
There have been lots of researches about SEIRS
, SIRS models, in which the infectious diseases spread in a single population [1, 2].