About: Mathematical analysis of the role of hospitalization/isolation in controlling the spread of Zika fever

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

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Mathematical analysis of the role of hospitalization/isolation in controlling the spread of Zika fever
Creator	Imran, Mudassar Malik, Tufail Usman, Muhammad Ansari, Ali
Source	Elsevier; Medline; PMC
abstract	Abstract The Zika virus is transmitted to humans primarily through Aedes mosquitoes and through sexual contact. It is documented that the virus can be transmitted to newborn babies from their mothers. We consider a deterministic model for the transmission dynamics of the Zika virus infectious disease that spreads in, both humans and vectors, through horizontal and vertical transmission. The total populations of both humans and mosquitoes are assumed to be constant. Our models consist of a system of eight differential equations describing the human and vector populations during the different stages of the disease. We have included the hospitalization/isolation class in our model to see the effect of the controlling strategy. We determine the expression for the basic reproductive number R 0 in terms of horizontal as well as vertical disease transmission rates. An in-depth stability analysis of the model is performed, and it is consequently shown, that the model has a globally asymptotically stable disease-free equilibrium when the basic reproduction number R 0 < 1. It is also shown that when R 0 > 1, there exists a unique endemic equilibrium. We showed that the endemic equilibrium point is globally asymptotically stable when it exists. We were able to prove this result in a reduced model. Furthermore, we conducted an uncertainty and sensitivity analysis to recognize the impact of crucial model parameters on R 0. The uncertainty analysis yields an estimated value of the basic reproductive number R 0 = 1.54. Assuming infection prevalence in the population under constant control, optimal control theory is used to devise an optimal hospitalization/isolation control strategy for the model. The impact of isolation on the number of infected individuals and the accumulated cost is assessed and compared with the constant control case.
has issue date	2018-08-15(xsd:dateTime)
bibo:doi	10.1016/j.virusres.2018.07.002
bibo:pmid	30003923
has license	els-covid
sha1sum (hex)	7f0f9ab94c2b0b2c5a283676e5de4060646f0ffb
schema:url	https://doi.org/10.1016/j.virusres.2018.07.002
resource representing a document's title	Mathematical analysis of the role of hospitalization/isolation in controlling the spread of Zika fever
has PubMed Central identifier	PMC7127007
has PubMed identifier	30003923
schema:publication	Virus Research
resource representing a document's body	covid:7f0f9ab94c2b0b2c5a283676e5de4060646f0ffb#body_text
is schema:about of	named entity 'CONTROLLING' named entity 'ZIKA FEVER' named entity 'SPREAD' named entity 'REPORTED' named entity 'ZIKA VIRUS' named entity 'ITS' named entity 'BRAZILIAN' named entity 'OUTSIDE' named entity 'THOUSANDS' named entity 'CONSIDERED' named entity 'RECENT' named entity 'HAVE' named entity 'ASIA' named entity 'CONFIRMED' named entity '2015' named entity 'APRIL' named entity 'ANALYSIS' named entity 'FLU-LIKE SYMPTOMS' named entity 'ROLE' named entity 'HOSPITALIZATION' named entity 'MATHEMATICAL' named entity '500' named entity 'EMERGING PATHOGEN' named entity 'AUTHORITIES' named entity 'SPREAD' named entity 'SYMPTOMATIC' named entity 'AFRICA' named entity 'CASES' named entity 'DUE TO' named entity 'virus' named entity 'Zika' named entity 'Zika' named entity 'optimal control theory' named entity 'square root' named entity 'vector' named entity 'smallpox' named entity 'differential equations' named entity 'latent period' named entity 'disease-free' named entity 'linear function' named entity 'optimal control' named entity 'vector' named entity 'severe acute respiratory syndrome' named entity 'Zika outbreak' named entity 'ordinary differential equations' named entity 'pandemic influenza' named entity 'Zika fever' named entity 'virus' named entity 'numerical solutions' named entity 'vector' named entity 'reproductive number' named entity 'tuberculosis' named entity 'fever' named entity 'ECDC' named entity 'Zika virus' named entity 'infection' named entity 'yellow fever' named entity 'smaller than normal' named entity 'mosquitoes' named entity 'vector' named entity 'reproductive number' named entity 'Zika fever' named entity 'objective function' named entity 'Zika virus' named entity 'reproductive number' named entity 'optimal control' named entity 'human population' named entity 'host population' named entity 'cost function' named entity 'Zika fever' named entity 'Runge-Kutta method' named entity 'optimal control' named entity '5.2' named entity 'steady state' named entity 'endemic equilibrium' named entity 'Zika fever' named entity 'vector' named entity 'reproductive number'

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