%0 Journal Article
%T The Analysis of a <i>SEIRS</i> Epidemic Model with Time Delay on Complex Networks
%A Jing Dong
%A Tao Li
%A Chen Wan
%A Xiongding Liu
%J Open Access Library Journal
%V 4
%N 9
%P 1-10
%@ 2333-9721
%D 2017
%I Open Access Library
%R 10.4236/oalib.1103901
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">In this paper, a new epidemic </span><i style="line-height:1.5;">SEIRS</i><span style="line-height:1.5;"> model with time delay on complex networks is proposed. Based
on the mean field theory, the basic reproductive number and equilibriums of the
model are derived. Moreover, the impact of the network topology and time delay
on the basic reproductive number is analyzed. Theoretical analyses indicate
that the basic reproductive number is dependent on the topology of the
underlyin</span><span style="line-height:1.5;">g networks. The time delay cannot change the basic reproductive number,
but it can reduce the endemic level and weaken the epidemic spreading. The
global asymptotically stability of the disease-free equilibrium and the permanence
of epidemic are proved in detail. Numerical simulations confirm the analytical
results.</span>
</div>
%K Epidemic Model
%K Complex Networks
%K Time Delay
%K Permanence
%K Stability
%U http://www.oalib.com/paper/5289579