The impact of infection-derived immunity on disease dynamics.
Infection-derived immunity
Mathematical epidemiology
Mathematical modeling
Journal
Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105
Informations de publication
Date de publication:
12 11 2021
12 11 2021
Historique:
received:
10
01
2021
accepted:
13
10
2021
revised:
20
07
2021
entrez:
13
11
2021
pubmed:
14
11
2021
medline:
25
11
2021
Statut:
epublish
Résumé
When modeling infectious diseases, it is common to assume that infection-derived immunity is either (1) non-existent or (2) perfect and lifelong. However there are many diseases in which infection-derived immunity is known to be present but imperfect. There are various ways in which infection-derived immunity can fail, which can ultimately impact the probability that an individual be reinfected by the same pathogen, as well as the long-run population-level prevalence of the pathogen. Here we discuss seven different models of imperfect infection-derived immunity, including waning, leaky and all-or-nothing immunity. For each model we derive the probability that an infected individual becomes reinfected during their lifetime, given that the system is at endemic equilibrium. This can be thought of as the impact that each of these infection-derived immunity failures have on reinfection. This measure is useful because it provides us with a way to compare different modes of failure of infection-derived immunity.
Identifiants
pubmed: 34773173
doi: 10.1007/s00285-021-01681-4
pii: 10.1007/s00285-021-01681-4
pmc: PMC8589100
doi:
Types de publication
Journal Article
Research Support, N.I.H., Extramural
Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.
Langues
eng
Sous-ensembles de citation
IM
Pagination
61Subventions
Organisme : NIAID NIH HHS
ID : R01 AI101155
Pays : United States
Organisme : NIAID NIH HHS
ID : R01 AI143852
Pays : United States
Organisme : NIGMS NIH HHS
ID : U54 GM111274
Pays : United States
Informations de copyright
© 2021. Crown.
Références
N Engl J Med. 2007 Mar 15;356(11):1121-9
pubmed: 17360990
Sci Transl Med. 2018 Mar 28;10(434):
pubmed: 29593103
SN Compr Clin Med. 2020;2(6):710-713
pubmed: 32838134
Bull Math Biol. 1998 Mar;60(2):355-72
pubmed: 9559579
J Infect Dis. 1991 Apr;163(4):693-8
pubmed: 2010624
PLoS One. 2013 Aug 26;8(8):e72086
pubmed: 23991047
Am J Epidemiol. 2012 Nov 1;176(9):794-802
pubmed: 23059788
Math Med Biol. 2005 Jun;22(2):113-28
pubmed: 15778334
Math Biosci. 2002 Nov-Dec;180:29-48
pubmed: 12387915
J Hyg (Lond). 1983 Apr;90(2):259-325
pubmed: 6833747
Math Biosci. 1995 Feb;125(2):155-64
pubmed: 7881192
Proc Natl Acad Sci U S A. 2013 Jun 4;110(23):9595-600
pubmed: 23690587
J Theor Biol. 2009 Jul 21;259(2):280-90
pubmed: 19306886
Rev Med Virol. 2018 Mar;28(2):
pubmed: 29377415
PLoS Med. 2005 Jul;2(7):e174
pubmed: 16013892
Science. 2021 Apr 23;372(6540):363-370
pubmed: 33688062
Proc Natl Acad Sci U S A. 2011 Apr 26;108(17):7259-64
pubmed: 21422281
J Theor Biol. 2004 Jun 21;228(4):539-49
pubmed: 15178201
J Theor Biol. 2005 Sep 7;236(1):111-3
pubmed: 15967188
J Math Biol. 1990;28(4):365-82
pubmed: 2117040
Science. 2009 Jul 17;325(5938):290-4
pubmed: 19608910
Proc Natl Acad Sci U S A. 2004 Nov 30;101(48):16915-6
pubmed: 15557003
SIAM J Appl Math. 2014;74(6):1810-1830
pubmed: 25878365
PLoS Pathog. 2009 Oct;5(10):e1000647
pubmed: 19876392
Theor Biol Med Model. 2006 Jan 20;3:3
pubmed: 16426453
PLoS Comput Biol. 2019 Oct 28;15(10):e1007096
pubmed: 31658250
Philos Trans R Soc Lond B Biol Sci. 2001 Dec 29;356(1416):1861-70
pubmed: 11779385
J Theor Biol. 2012 Sep 21;309:176-84
pubmed: 22721993
Science. 2012 Mar 16;335(6074):1376-80
pubmed: 22383809