An analytical approach to transmission dynamics of infectious diseases with waning immunity

Küçük Resim Yok

Tarih

2011

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study, we present a mathematical model that describes the dynamics of reinfection under the assumption that the vaccine-induced immune protection may wane over time. The qualitative analysis reveals that the disease eradication depends on vaccination coverage as well as on vaccine efficacy. Using an appropriate Lyapunov function, we established that the disease-free equilibrium is globally asymptotically stable if the vaccination coverage level exceeds a certain threshold value. We combined homotopy perturbation method (HPM) and Padé approximation technique for this problem. Numerical simulations support our analytical conclusions and illustrate possible behavior scenarios of the model. © 2011 World Scientific Publishing Company.

Açıklama

Anahtar Kelimeler

epidemic model, Homotopy perturbation method, Lyapunov function, Padé technique, vaccination coverage, waning immunity

Kaynak

Journal of Mechanics in Medicine and Biology

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

11

Sayı

4

Künye