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Mathematical analysis of the transmission dynamics of viral infection with effective control policies via fractional derivative

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dc.citedby11
dc.contributor.authorJan R.en_US
dc.contributor.authorRazak N.N.A.en_US
dc.contributor.authorBoulaaras S.en_US
dc.contributor.authorRehman Z.U.en_US
dc.contributor.authorBahramand S.en_US
dc.contributor.authorid57205596279en_US
dc.contributor.authorid37059587300en_US
dc.contributor.authorid36994353700en_US
dc.contributor.authorid58095489000en_US
dc.contributor.authorid58725436500en_US
dc.date.accessioned2024-10-14T03:20:01Z
dc.date.available2024-10-14T03:20:01Z
dc.date.issued2023
dc.description.abstractIt is well known that viral infections have a high impact on public health in multiple ways, including disease burden, outbreaks and pandemic, economic consequences, emergency response, strain on healthcare systems, psychological and social effects, and the importance of vaccination. Mathematical models of viral infections help policymakers and researchers to understand how diseases can spread, predict the potential impact of interventions, and make informed decisions to control and manage outbreaks. In this work, we formulate a mathematical model for the transmission dynamics of COVID-19 in the framework of a fractional derivative. For the analysis of the recommended model, the fundamental concepts and results are presented. For the validity of the model, we have proven that the solutions of the recommended model are positive and bounded. The qualitative and quantitative analyses of the proposed dynamics have been carried out in this research work. To ensure the existence and uniqueness of the proposed COVID-19 dynamics, we employ fixed-point theorems such as Schaefer and Banach. In addition to this, we establish stability results for the system of COVID-19 infection through mathematical skills. To assess the influence of input parameters on the proposed dynamics of the infection, we analyzed the solution pathways using the Laplace Adomian decomposition approach. Moreover, we performed different simulations to conceptualize the role of input parameters on the dynamics of the infection. These simulations provide visualizations of key factors and aid public health officials in implementing effective measures to control the spread of the virus. � 2023 the author(s), published by De Gruyter.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo20220342
dc.identifier.doi10.1515/nleng-2022-0342
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85178063048
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85178063048&doi=10.1515%2fnleng-2022-0342&partnerID=40&md5=a48b54fb310f88f82dcafeb87d756833
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/34472
dc.identifier.volume12
dc.publisherWalter de Gruyter GmbHen_US
dc.relation.ispartofAll Open Access
dc.relation.ispartofGold Open Access
dc.sourceScopus
dc.sourcetitleNonlinear Engineering
dc.subjectdifferential equations
dc.subjectdynamical behavior
dc.subjectmathematical operators
dc.subjectpublic health policies
dc.subjectstability analysis
dc.subjectviral dynamics
dc.subjectDifferential equations
dc.subjectDisease control
dc.subjectDynamics
dc.subjectEconomic and social effects
dc.subjectFixed point arithmetic
dc.subjectMathematical operators
dc.subjectViruses
dc.subjectControl policy
dc.subjectDynamical behaviors
dc.subjectFractional derivatives
dc.subjectInput parameter
dc.subjectMathematical analysis
dc.subjectPublic health policies
dc.subjectStability analyze
dc.subjectTransmission dynamics
dc.subjectViral dynamic
dc.subjectViral infections
dc.subjectCOVID-19
dc.titleMathematical analysis of the transmission dynamics of viral infection with effective control policies via fractional derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication
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