Superinfection Behaviors on Scale-Free Networks with Competing Strains
Identifieur interne : 001E17 ( Main/Exploration ); précédent : 001E16; suivant : 001E18Superinfection Behaviors on Scale-Free Networks with Competing Strains
Auteurs : Qingchu Wu [République populaire de Chine] ; Michael Small [Australie] ; Huaxiang Liu [République populaire de Chine]Source :
- Journal of Nonlinear Science [ 0938-8974 ] ; 2013-02-01.
English descriptors
Abstract
Abstract: This paper considers the epidemiology of two strains (I,J) of a disease spreading through a population represented by a scale-free network. The epidemiological model is SIS and the two strains have different reproductive numbers. Superinfection means that strain I can infect individuals already infected with strain J, replacing the strain J infection. Individuals infected with strain I cannot be infected with strain J. The model is set up as a system of ordering differential equations and stability of the disease free, marginal strain I and strain J, and coexistence equilibria are assessed using linear stability analysis, supported by simulations. The main conclusion is that superinfection, as modeled in this paper, can allow strain I to coexist with strain J even when it has a lower basic reproductive number. Most strikingly, it can allow strain I to persist even when its reproductive number is less than 1.
Url:
DOI: 10.1007/s00332-012-9146-1
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The epidemiological model is SIS and the two strains have different reproductive numbers. Superinfection means that strain I can infect individuals already infected with strain J, replacing the strain J infection. Individuals infected with strain I cannot be infected with strain J. The model is set up as a system of ordering differential equations and stability of the disease free, marginal strain I and strain J, and coexistence equilibria are assessed using linear stability analysis, supported by simulations. The main conclusion is that superinfection, as modeled in this paper, can allow strain I to coexist with strain J even when it has a lower basic reproductive number. Most strikingly, it can allow strain I to persist even when its reproductive number is less than 1.</div></front></TEI><affiliations><list><country><li>Australie</li><li>République populaire de Chine</li></country><region><li>Jiangxi</li></region><settlement><li>Nanchang</li></settlement></list><tree><country name="République populaire de Chine"><region name="Jiangxi"><name sortKey="Wu, Qingchu" sort="Wu, Qingchu" uniqKey="Wu Q" first="Qingchu" last="Wu">Qingchu Wu</name></region><name sortKey="Liu, Huaxiang" sort="Liu, Huaxiang" uniqKey="Liu H" first="Huaxiang" last="Liu">Huaxiang Liu</name><name sortKey="Wu, Qingchu" sort="Wu, Qingchu" uniqKey="Wu Q" first="Qingchu" last="Wu">Qingchu Wu</name></country><country name="Australie"><noRegion><name sortKey="Small, Michael" sort="Small, Michael" uniqKey="Small M" first="Michael" last="Small">Michael Small</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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