About: Transmission Dynamics of an SIS Model with Age Structure on Heterogeneous Networks

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Transmission Dynamics of an SIS Model with Age Structure on Heterogeneous Networks
Creator	Chen, Shanshan Fu, · Small, · Tao, Yizhou
source	PMC
abstract	Infection age is often an important factor in epidemic dynamics. In order to realistically analyze the spreading mechanism and dynamical behavior of epidemic diseases, in this paper, a generalized disease transmission model of SIS type with age-dependent infection and birth and death on a heterogeneous network is discussed. The model allows the infection and recovery rates to vary and depend on the age of infection, the time since an individual becomes infected. We address uniform persistence and find that the model has the sharp threshold property, that is, for the basic reproduction number less than one, the disease-free equilibrium is globally asymptotically stable, while for the basic reproduction number is above one, a Lyapunov functional is used to show that the endemic equilibrium is globally stable. Finally, some numerical simulations are carried out to illustrate and complement the main results. The disease dynamics rely not only on the network structure, but also on an age-dependent factor (for some key functions concerned in the model).
has issue date	2018-06-11(xsd:dateTime)
bibo:doi	10.1007/s11538-018-0445-z
bibo:pmid	29948881
has license	no-cc
sha1sum (hex)	e4e1e9398b1eaed709d6a7b3f82eb72a88ccae1e
schema:url	https://doi.org/10.1007/s11538-018-0445-z
resource representing a document's title	Transmission Dynamics of an SIS Model with Age Structure on Heterogeneous Networks
has PubMed Central identifier	PMC7088888
has PubMed identifier	29948881
schema:publication	Bull Math Biol
resource representing a document's body	covid:e4e1e9398b1eaed709d6a7b3f82eb72a88ccae1e#body_text
is schema:about of	named entity 'SIS' named entity 'mechanism' named entity 'address' named entity 'globally asymptotically stable' named entity 'COMPLEMENT' named entity 'THRESHOLD' named entity 'STABLE' named entity 'INDIVIDUAL' named entity 'BASIC REPRODUCTION NUMBER' named entity 'ORDER' named entity 'FUNCTIONS' named entity 'INFECTED' named entity 'carried' named entity 'endemic' named entity 'age' named entity 'individual' named entity 'dynamical' named entity 'model' named entity 'basic reproduction number' named entity 'structure' named entity 'Heterogeneous' named entity 'globally asymptotically stable' named entity 'infection' named entity 'epidemic diseases' named entity 'complement' named entity 'disease-free' named entity 'dynamic behavior' named entity 'infection' named entity 'age structure' named entity 'basic reproduction number' named entity 'analytic methods' named entity 'statistical regression' named entity 'cholera' named entity '15,000' named entity 'attractor' named entity 'infection' named entity 'complementary technique' named entity 'epidemic' named entity 'age structure' named entity 'complex networks' named entity '1, 2' named entity 'infection' named entity 'clinical symptoms' named entity 'Infection' named entity 'semigroup' named entity 'degree distribution' named entity 'Lyapunov functions' named entity 'basic reproduction number' named entity 'state space' named entity 'human society' named entity 'infection' named entity 'infection' named entity 'scale-free networks' named entity 'simple model' named entity 'viruses' named entity 'semigroup' named entity 'disease-free' named entity 'complex networks' named entity 'epidemic model' named entity 'evolution' named entity 'age structure' named entity 'incubation period' named entity 'basic reproduction number' named entity '5.4' named entity 'ebola' named entity 'infectious diseases' named entity 'evolution' named entity '4.2' named entity 'well-mixed' named entity '1, 2' named entity '5.2' named entity 'disease-free' named entity 'scarlet fever' named entity '1, 2' named entity 'Cholera' named entity 'Courant-Friedrichs-Lewy' named entity 'epidemic' named entity 'HFMD'

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