About: The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate

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

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate
Creator	Li, Dan Liu, · Liu, Shengqiang Jing'an Cui, ·
Source	PMC
abstract	A stochastic SIRS epidemic model with nonlinear incidence rate and varying population size is formulated to investigate the effect of stochastic environmental variability on inter-pandemic transmission dynamics of influenza A. Sufficient conditions for extinction and persistence of the disease are established. In the case of persistence, the existence of endemic stationary distribution is proved and the distance between stochastic solutions and the endemic equilibrium of the corresponding deterministic system in the time mean sense is estimated. Based on realistic parameters of influenza A in humans, numerical simulations have been performed to verify/extend our analytical results. It is found that: (i) the deterministic threshold of the influenza A extinction [Formula: see text] may exist and the threshold parameter will be overestimated in case of neglecting the impaction of environmental noises; (ii) the presence of environmental noises is capable of supporting the irregular recurrence of influenza epidemic, and the average level of the number of infected individuals I(t) always decreases with the increase in noise intensity; and (iii) if [Formula: see text] , the volatility of I(t) increases with the increase of noise intensity, while the volatility of I(t) decreases with the increase in noise intensity if [Formula: see text] .
has issue date	2015-09-14(xsd:dateTime)
bibo:doi	10.1007/s11538-015-0101-9
bibo:pmid	26369670
has license	no-cc
sha1sum (hex)	6ad86765be290482cdd6d166b23d269dee3ea0fd
schema:url	https://doi.org/10.1007/s11538-015-0101-9
resource representing a document's title	The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate
has PubMed Central identifier	PMC7088780
has PubMed identifier	26369670
schema:publication	Bull Math Biol
resource representing a document's body	covid:6ad86765be290482cdd6d166b23d269dee3ea0fd#body_text
is schema:about of	named entity 'persistence' named entity 'environmental' named entity 'analytical' named entity 'solutions' named entity 'number' named entity 'time' named entity 'Stochastic' named entity 'EPIDEMIC MODEL' named entity 'verify' named entity 'volatility' named entity 'noise' named entity 'endemic' named entity 'influenza' named entity 'stochastic' named entity 'noise intensity' named entity 'influenza' named entity 'epidemic model' named entity 'vector' named entity 'initial condition' named entity 'significant effect' named entity 'globally asymptotically stable' named entity 'evolutionary dynamics' named entity 'infection' named entity 'evolution' named entity 'stochastic' named entity 'stochastic' named entity 'standard deviation' named entity 'China' named entity 'white noise' named entity 'mathematical models' named entity 'stationary distribution' named entity 'incidence rate' named entity 'Proposition 1' named entity 'SIRS' named entity 'evolution' named entity 'stochastic differential equation' named entity 'guinea pigs' named entity 'standard deviation' named entity 'SDE' named entity 'absolute humidity' named entity 'positive recurrent' named entity 'diurnal' named entity 'probability distribution' named entity 'evolution' named entity 'white noise' named entity 'epidemic' named entity 'influenza' named entity 'basic reproduction number' named entity 'incidence rates' named entity 'white noise' named entity 'white noise' named entity 'stochastic' named entity 'probability' named entity 'incidence rate' named entity '2.0' named entity 'Grenfell' named entity 'disease outbreak' named entity 'influenza' named entity 'standard deviation' named entity 'antigenic drift' named entity 'R n' named entity 'random variation' named entity 'asymptotic stability' named entity 'incidence rate' named entity 'pandemics' named entity 'R n' named entity 'basic reproduction number' named entity 'probability' named entity 'endemic' named entity 'white noise' named entity 'influenza virus' named entity 'host population' named entity 'type A influenza' named entity 'stochastic' named entity 'disease outbreak' named entity 'white noise' named entity 'Itô's formula' named entity '1, 2'

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