Stochastic dynamical analysis of the co-infection of the fractional pneumonia and typhoid fever disease model with cost-effective techniques and crossover effects

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dc.authorideldeeb, ahmed/0000-0003-2822-4092
dc.contributor.authorRashid, Saima
dc.contributor.authorEl-Deeb, Ahmed A.
dc.contributor.authorInc, Mustafa
dc.contributor.authorAkgul, Ali
dc.contributor.authorZakarya, Mohammed
dc.contributor.authorWeera, Wajaree
dc.date.accessioned2024-12-24T19:25:18Z
dc.date.available2024-12-24T19:25:18Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we suggest and assess a stochastic model for pneumonia-typhoid co -infection to investigate their distinctive correlation under the impact of preventative techniques con-sidering environmental noise and piecewise fractional derivative operators. Initially, we conducted a descriptive investigation of the model, and the basic reproductive number is defined in terms of the existence and stability of dynamic equilibrium. Then, we obtain the sufficient requirements for the existence of an ergodic stationary distribution by utilizing a novel methodology for constructing stochastic Lyapunov candidates. Besides that, the basic stochastic reproductive Rs0 as a threshold that will examine the extinction and persistence of the disease. Through a rigorous analysis, this study presents the concept of piecewise derivative with the goal of modelling the co-dynamics of pneumonia and typhoid fever with varying kernels. We viewed various possibilities and described numerical strategies for addressing difficulties. Visual observations, such as chaotic and dynamical behaviour patterns, are provided to demonstrate the efficacy of the proposed notion. Thus, the innovative considerations of fractional calculus include more versatile configurations, allowing us to more effectively acclimate to the dynamic system behaviours of real-world manifestations. Finally, we discovered that treating pneumonia with typhoid fever preventative measures is the least expensive. As a result, for advantageous and cost-effective regulation of both pathogens, legislators must prioritize preventative measures while not overlooking treatment of affected patients.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
dc.identifier.doi10.1016/j.aej.2023.01.027
dc.identifier.endpage55
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85147428224
dc.identifier.scopusqualityQ1
dc.identifier.startpage35
dc.identifier.urihttps://doi.org/10.1016/j.aej.2023.01.027
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6329
dc.identifier.volume69
dc.identifier.wosWOS:000931899300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCo-dynamic of pneumonia and typhoid model
dc.subjectFractional derivatives
dc.subjectStochastic-deterministic models
dc.subjectNumerical solutions
dc.subjectIto derivative
dc.subjectChaotic attractors
dc.titleStochastic dynamical analysis of the co-infection of the fractional pneumonia and typhoid fever disease model with cost-effective techniques and crossover effects
dc.typeArticle

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