ANALYSIS OF DYNAMICAL BEHAVIORS FOR A DELAYED
SIS EPIDEMIC MODEL WITH INCUBATION PERIOD
SIS EPIDEMIC MODEL WITH INCUBATION PERIOD
Qiming Liu
, Changsong Deng
Institute of Applied Mathematics
Shijiazhuang Mechanical Engineering College
Shijiazhuang, 050003, P.R. CHINA
, Changsong Deng
Institute of Applied Mathematics
Shijiazhuang Mechanical Engineering College
Shijiazhuang, 050003, P.R. CHINA
Abstract. In this paper, we present a new epidemic spreading SIS model with time delays on scale-free networks. We give formula of the basic reproductive number 
for the model. The global asymptotic stability of a disease-free equilibrium when 
and the uniformly persistent of disease when 
are proved. Numerical simulations are given to demonstrate the main results.
for the model. The global asymptotic stability of a disease-free equilibrium when and the uniformly persistent of disease when are proved. Numerical simulations are given to demonstrate the main results.
AMS Subject Classification: 97M50, 97P70, 34K20, 34K12
Key Words and Phrases: scale-free networks, SIS epidemic model, stability, time delay
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DOI: 10.12732/ijam.v28i5.3
Volume: 28
Issue: 5
Year: 2015
