About: Threshold dynamics of a time-delayed epidemic model for continuous imperfect-vaccine with a generalized nonmonotone incidence rate

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About: Threshold dynamics of a time-delayed epidemic model for continuous imperfect-vaccine with a generalized nonmonotone incidence rate Goto Sponge NotDistinct Permalink

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	Threshold dynamics of a time-delayed epidemic model for continuous imperfect-vaccine with a generalized nonmonotone incidence rate
Creator	Al-Darabsah, I Al-Darabsah, Isam
Source	Medline; PMC
abstract	In this paper, we study the dynamics of an infectious disease in the presence of a continuous-imperfect vaccine and latent period. We consider a general incidence rate function with a non-monotonicity property to interpret the psychological effect in the susceptible population. After we propose the model, we provide the well-posedness property and calculate the effective reproduction number [Formula: see text] . Then, we obtain the threshold dynamics of the system with respect to [Formula: see text] by studying the global stability of the disease-free equilibrium when [Formula: see text] and the system persistence when [Formula: see text] . For the endemic equilibrium, we use the semi-discretization method to analyze its linear stability. Then, we discuss the critical vaccination coverage rate that is required to eliminate the disease. Numerical simulations are provided to implement a case study regarding data of influenza patients, study the local and global sensitivity of [Formula: see text] , construct approximate stability charts for the endemic equilibrium over different parameter spaces and explore the sensitivity of the proposed model solutions.
has issue date	2020-07-27(xsd:dateTime)
bibo:doi	10.1007/s11071-020-05825-x
bibo:pmid	32836815
has license	no-cc
sha1sum (hex)	7da15ad52b22cada80795e400d19086dd4e77657
schema:url	https://doi.org/10.1007/s11071-020-05825-x
resource representing a document's title	Threshold dynamics of a time-delayed epidemic model for continuous imperfect-vaccine with a generalized nonmonotone incidence rate
has PubMed Central identifier	PMC7383700
has PubMed identifier	32836815
schema:publication	Nonlinear Dyn
resource representing a document's body	covid:7da15ad52b22cada80795e400d19086dd4e77657#body_text
is schema:about of	named entity 'INCIDENCE RATE' named entity 'ENDEMIC' named entity 'PERSISTENCE' named entity 'discretization method' named entity 'vaccine' named entity 'incidence rate' named entity 'PRCC' named entity 'normal cone' named entity 'transmission rate' named entity 'Hopf Bifurcation' named entity 'PRCC' named entity 'numerical solution' named entity 'mathematical model' named entity 'vaccination' named entity 'vaccine' named entity 'monodromy' named entity 'HIV' named entity 'nonlinear' named entity 'epidemic' named entity 'complex plane' named entity 'complex network' named entity 'ordinary differential equations' named entity 'unit circle' named entity 'SARS' named entity 'epidemic' named entity 'epidemic' named entity 'incidence rate' named entity 'vaccination' named entity 'H1N1' named entity 'influenza transmission' named entity 'variation of constants formula' named entity 'PRCC' named entity 'stability region' named entity 'unit circle' named entity 'mathematical model' named entity 'asymptotically stable' named entity 'endemic equilibrium' named entity '2.1' named entity 'monodromy' named entity 'initial condition' named entity 'transitive set' named entity 'generation time' named entity 'vector' named entity 'vaccine' named entity 'positive affect' named entity 'asymptomatic carriage' named entity 'analyze data' named entity 'transition matrix' named entity 'statistically significant' named entity 'Typhoid Fever' named entity 'stage-structured' named entity 'endemic equilibrium' named entity 'disease-free' named entity 'latent period' named entity '5.1' named entity 'periodic solution' named entity 'rate of convergence' named entity 'infectious disease' named entity 'susceptible individual' named entity 'eigenvalues' named entity 'Vaccines' named entity 'continuous function' named entity 'latent period' named entity 'measles' named entity 'spectral radius' named entity 'omega limit' named entity 'asymptomatic carriers' named entity 'sensitivity analysis' named entity 'effective reproduction number' named entity 'correlation' named entity 'incidence rate' named entity '4.3' named entity 'compact set' named entity 'vaccination' named entity 'Hopf Bifurcation' named entity 'virus' named entity 'infectious disease' named entity 'COVID-19' named entity 'infectious diseases' named entity 'North Carolina'

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