Details:

Alternative Title:
Discrete Continuous Dyn Syst Ser B
Publisher's site:
http://dx.doi.org/10.3934/dcdsb.2016.21.399
Personal Author:
Feng, Zhilan ; Han, Qing ; Qiu, Zhipeng ; Hill, Andrew N. ; Glasser, John W.
Feng, Zhilan ; Han, Qing ; Qiu, Zhipeng ; Hill, Andrew N. ; Glasser, John W. Less -
Description:
For infectious diseases such as pertussis, susceptibility is determined by immunity, which is chronological age-dependent. We consider an age-structured epidemiological model that accounts for both passively acquired maternal antibodies that decay and active immunity that wanes, permitting reinfection. The model is a 6-dimensional system of partial differential equations (PDE). By assuming constant rates within each age-group, the PDE system can be reduced to an ordinary differential equation (ODE) system with aging from one age-group to the next. We derive formulae for the effective reproduction number ℛ and provide their biological interpretation in some special cases. We show that the disease-free equilibrium is stable when ℛ < 1 and unstable if ℛ > 1.
Subject:
[+]
Age-structured Epidemiological Model Article Multiple Infections Partial Immunity Reproduction Numbers
Source:
Discrete Continuous Dyn Syst Ser B. 21(2):399-415.
Pubmed ID:
29249910
Pubmed Central ID:
PMC5730097
Document Type:
Journal Article
Funding:
CC999999/Intramural CDC HHS/United States
Collection(s):
CDC Public Access
Main Document Checksum:
[+]
urn:sha256:2e0ab6507de0cc87b53380487b19c510fa7be8308291b736a10bc8a6260998db
Download URL:
https://stacks.cdc.gov/view/cdc/50712/cdc_50712_DS1.pdf
File Type:

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