Infection Eradication Criterion in a General Epidemic Model with Logistic Growth, Quarantine Strategy, Media Intrusion, and Quadratic Perturbation

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dc.contributor.authorSabbar, Yassine
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorOzkose, Fatma
dc.date.accessioned2024-02-23T14:35:13Z
dc.date.available2024-02-23T14:35:13Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThis article explores and highlights the effect of stochasticity on the extinction behavior of a disease in a general epidemic model. Specifically, we consider a sophisticated dynamical model that combines logistic growth, quarantine strategy, media intrusion, and quadratic noise. The amalgamation of all these hypotheses makes our model more practical and realistic. By adopting new analytical techniques, we provide a sharp criterion for disease eradication. The theoretical results show that the extinction criterion of our general perturbed model is mainly determined by the parameters closely related to the linear and quadratic perturbations as well as other deterministic parameters of the system. In order to clearly show the strength of our new result in a practical way, we perform numerical examples using the case of herpes simplex virus (HSV) in the USA. We conclude that a great amount of quadratic noise minimizes the period of HSV and affects its eradication time.en_US
dc.description.sponsorshipUniversity of Exeteren_US
dc.description.sponsorshipThis study was partially supported by the University of Exeter.en_US
dc.identifier.doi10.3390/math10224213
dc.identifier.issn2227-7390
dc.identifier.issue22en_US
dc.identifier.scopus2-s2.0-85142501781en_US
dc.identifier.urihttps://doi.org/10.3390/math10224213
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15934
dc.identifier.volume10en_US
dc.identifier.wosWOS:000887342400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEpidemic Modelen_US
dc.subjectLogistic Growthen_US
dc.subjectQuarantine Strategyen_US
dc.subjectMedia Intrusionen_US
dc.subjectQuadratic Noiseen_US
dc.titleInfection Eradication Criterion in a General Epidemic Model with Logistic Growth, Quarantine Strategy, Media Intrusion, and Quadratic Perturbationen_US
dc.typeArticleen_US

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