SEIR epidemiological model with varying infectivity and infinite delay
Gergely RöstAnalysis and Stochastics Research Group, Hungarian Academy of Sciences, Bolyai Institute, University of Szeged, Hungary, H-6720 Szeged, Aradi vértanúk tere 1. [email protected]Jianhong WuAnalysis and Stochastics Research Group, Hungarian Academy of Sciences, Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1Gergely RöstAnalysis and Stochastics Research Group, Hungarian Academy of Sciences, Bolyai Institute, University of Szeged, Hungary, H-6720 Szeged, Aradi vértanúk tere 1. [email protected]Jianhong WuAnalysis and Stochastics Research Group, Hungarian Academy of Sciences, Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1
2008en
ABI
Аннотация
A new SEIR model with distributed infinite delay is derived when the infectivity depends on the age of infection. The basic reproduction number R0, which is a threshold quantity for the stability of equilibria, is calculated. If R0 < 1, then the disease-free equilibrium is globally asymptotically stable and this is the only equilibrium. On the contrary, if R0 > 1, then an endemic equilibrium appears which is locally asymptotically stable. Applying a permanence theorem for infinite dimensional systems, we obtain that the disease is always present when R0 > 1.
Ҳали таржима қилинмаган
Идентификаторлар
Иқтибослар ва манбалар
2 та иқтибос0 та фойдаланилган манба