scholarly journals Epidemic models with age of infection, indirect transmission and incomplete treatment

2013 ◽  
Vol 18 (9) ◽  
pp. 2239-2265 ◽  
Author(s):  
Liming Cai ◽  
◽  
Maia Martcheva ◽  
Xue-Zhi Li ◽  
Keyword(s):  
Epidemic Models ◽  
Indirect Transmission ◽  
Age Of Infection ◽  
Incomplete Treatment

SIV EPIDEMIC MODELS WITH AGE OF INFECTION

2009 ◽  
Vol 02 (01) ◽  
pp. 61-67 ◽  
Author(s):  
JUN-YUAN YANG ◽  
FENG-QIN ZHANG ◽  
XIAO-YAN WANG
Keyword(s):  
Integral Equation ◽  
Infectious Diseases ◽  
Epidemic Model ◽  
Endemic Equilibrium ◽  
Epidemic Models ◽  
Reproductive Number ◽  
Asymptotically Stable ◽  
Age Of Infection

accination is a very important strategy for the elimination of infectious diseases. An SIV epidemic model with age of infection and vaccination has been formulated in this paper. Using the theory of differential and integral equation, we show that the infection-free equilibrium is locally asymptotically stable if the reproductive number R0 < 1, and the endemic equilibrium is locally asymptotically stable if R0 > 1.

Age of infection epidemic models with heterogeneous mixing

2009 ◽  
Vol 3 (2-3) ◽  
pp. 324-330 ◽  
Author(s):  
Fred Brauer ◽  
James Watmough
Keyword(s):  
Epidemic Models ◽  
Age Of Infection
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