Dynamical analysis of age‐structured pertussis model with covert infection. (3rd December 2019)

• Record Type: Journal Article
• Authors: Tian, Xuan; Wang, Wendi
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 4(2020)
• Page Start: 1631
• Page End: 1645
• Publication Date: 2019-12-03
• Subjects: bifurcation -- epidemiology -- reproduction number -- stability -- whooping cough; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5989
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : An age‐structured pertussis model with covert infection is proposed to understand the effect of covert infection on the recurrence of pertussis. It is found that vaccination only for young children does not have a decisive effect on whooping cough control. It is shown that although the vaccine coverage rate is relatively high, the model has a backward bifurcation for a larger covert infection rate. In addition, sufficient conditions for the disease‐free steady state to be globally asymptotically stable are obtained.