The role of prostitution on HIV transmission with memory: A modeling approach

Basit Öğe Kaydı
dc.contributor.authorNaik, Parvaiz Ahmad
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorZu, Jian
dc.date.accessioned2024-02-23T14:00:16Z
dc.date.available2024-02-23T14:00:16Z
dc.date.issued2020
dc.departmentNEÜen_US
dc.description.abstractHIV is a topic that has been greatly discussed and researched due to its impact on human population. Many campaigns have been put into place, and people have been made aware of the various effects of the disease. This paper considers a fractional-order HIV epidemic model with the inclusion of prostitution in the population and its consequences on the disease transmission. The model describes the spread of HIV disease in a system consisting of a population of susceptible males and the female sex workers. The focus is on the spread of HIV by female sex workers through prostitution, because in the present world sexual transmission is the major cause of the HIV trans-mission. The fractional derivatives are taken in Caputo sense and the numerical solution of the model is obtained by L1 scheme which involves the memory trace that can capture and integrate all past activity. Positivity and boundedness of the solution and the stability conditions of the fractional-order system are determined. Moreover, model equilibria are determined, and their sta-bility analysis are considered by using fractional Routh-Hurwitz stability criterion and fractional La-Salle's invariant principle. The threshold quantity namely basic reproduction number R-0 is cal-culated and analyzed for the disease status. On the basis of R-0, the disease progress can be deter-mined i.e., the population is free from the disease if R-0 < 1 and disease spreads in the population if R-0 > 1. Meanwhile, by using Lyapunov functional approach, the global dynamics of the endemic equilibrium point is discussed. Further, numerical simulations of the model and their graphical pre-sentations are performed to visualize the effectiveness of our theoretical results and to observe the impact of the arbitrary order derivative. The results obtained show the effectiveness and strength of the applied L1 scheme. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).en_US
dc.description.sponsorshipChina Postdoctoral Science Foundation [2019M663653, 2014M560755]; National Natural Science Foundation of China [11971375, 11571272, 11201368, 11631012]; National Science and Technology major project of China [2018ZX10721202]; Natural Science Foundation of Shaanxi Province [2019JM-273]; TUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipThe first author is very grateful to Xi'an Jiaotong University for the postdoctoral position provided to him. Also, the authors would like to thank the reviewers and editors of this paper for their careful attention to detail and constructive feedback that improved the presentation of the paper greatly.The study was supported by grants from the China Postdoctoral Science Foundation (Grant Nos. 2019M663653 and 2014M560755), the National Natural Science Foundation of China (Grant Nos. 11971375, 11571272, 11201368 and 11631012), the National Science and Technology major project of China (Grant No. 2018ZX10721202) and grant from the Natural Science Foundation of Shaanxi Province (Grant No. 2019JM-273). The funding body did not play any roles in the design of the study and in writing the manuscript.; The second author was supported by TUBITAK (The Scientific and Technological Research Council of Turkey).en_US
dc.identifier.doi10.1016/j.aej.2020.04.016
dc.identifier.endpage2531en_US
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85087212339en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2513en_US
dc.identifier.urihttps://doi.org/10.1016/j.aej.2020.04.016
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11536
dc.identifier.volume59en_US
dc.identifier.wosWOS:000563768600024en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHiv Epidemic Modelen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectL1 Schemeen_US
dc.subjectFemale Sex Workersen_US
dc.subjectMemoryen_US
dc.subjectStability Analysisen_US
dc.subjectReproduction Number R-0en_US
dc.titleThe role of prostitution on HIV transmission with memory: A modeling approachen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu