AN ANALYTICAL APPROACH TO TRANSMISSION DYNAMICS OF INFECTIOUS DISEASES WITH WANING IMMUNITY
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
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 Pade approximation technique for this problem. Numerical simulations support our analytical conclusions and illustrate possible behavior scenarios of the model.
Açıklama
Anahtar Kelimeler
Homotopy perturbation method, Pade technique, epidemic model, vaccination coverage, waning immunity, Lyapunov function
Kaynak
Journal of Mechanics in Medicine and Biology
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
11
Sayı
4
