Treatment of dynamical nonlinear Measles model: An evolutionary approach

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dc.authoridAkram, Sana/0000-0003-2038-9511
dc.contributor.authorTabassum, Muhammad Farhan
dc.contributor.authorAkgul, Ali
dc.contributor.authorAkram, Sana
dc.contributor.authorFarman, Muhammad
dc.contributor.authorKarim, Rabia
dc.contributor.authorul Hassan, Saadia Mahmood
dc.date.accessioned2024-12-24T19:30:38Z
dc.date.available2024-12-24T19:30:38Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractMeasles is a respiratory system infection caused by a Morbillivirus genus virus. The disease spreads directly or indirectly through respiration from the infected person's nose and mouth after contact with fluids. The vast population of infects in developing countries is yet at risk. Generally, the mathematical model of Measles virus propagation is nonlinear and therefore changeable to solve by traditional analytical and finite difference schemes by processing all properties of the model like boundedness, positivity feasibility. In this paper, an unconditionally convergent semi-analytical approach based on modern Evolutionary computational technique and Pade-Approximation (EPA) has been implemented for the treatment of non-linear Measles model. The convergence solution of EPA scheme on population: susceptible people, infective people, and recovered people have been studied and found to be significant. Eventually, EPA reduces contaminated levels very rapidly and no need to supply step size. A robust and durable solution has been established with the EPA in terms of the relationship between disease-free equilibrium in the population. When comparing the Non-Standard Finite Difference (NSFD) approach, the findings of EPA have shown themselves to be far superior.
dc.identifier.doi10.22075/ijnaa.2020.20450.2156
dc.identifier.endpage1638
dc.identifier.issn2008-6822
dc.identifier.issue1
dc.identifier.startpage1629
dc.identifier.urihttps://doi.org/10.22075/ijnaa.2020.20450.2156
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7616
dc.identifier.volume13
dc.identifier.wosWOS:000781720500001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSemnan Univ
dc.relation.ispartofInternational Journal of Nonlinear Analysis and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectOptimization
dc.subjectEpidemiological Measles Model
dc.subjectPade-approximation
dc.subjectDifferential Evolution
dc.subjectPenalty Function
dc.titleTreatment of dynamical nonlinear Measles model: An evolutionary approach
dc.typeArticle

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