The effect of social media for a zika virus transmission with beddington deangelis incidence rate: modeling and analysis

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dc.authorid0000-0002-3317-263Xen_US
dc.contributor.authorAndayani, Puji
dc.date.accessioned2024-07-12T20:54:59Z
dc.date.available2024-07-12T20:54:59Z
dc.date.issued2019en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractThis paper discuss a modified mathematical model of Zika virus transmission and analyzes the impact of the awareness programs on social media the modification of of Zika Virus model with saturated incidence rate. The Beddington-De Angelis functional responses used to describe the interaction between a suspected human and an infected human. The dynamics of the model were analyzed by identifying the disease-free (DFE) and endemic equilibrium (END). Next Generation Matrix (NGM) was used to determine the Basic Reproduction Number. The stability of DFE and END were analyzed locally by computing the determinant of Jacobian. The DFE was identified as locally stable when the basic reproduction number was less than unity; and was identified as unstable otherwise. Meanwhile, the END was identified as existents when the basic reproduction number was greater than unity. The Routh-Hurwitz Criterion showed that the END was locally stable under a specific condition. A sensitivity analysis was also computed to determine the most influential parameter value of the model. In the end, the stability of DFE and END were also identified numerically depending on certain parameter values.en_US
dc.identifier.citationAndayani, P. (2019). The effect of social media for a zika virus transmission with beddington deangelis incidence rate: modeling and analysis. International Conference of Mathematical Sciences (ICMS 2019). s. 175.en_US
dc.identifier.endpage176en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage175en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2840
dc.institutionauthorAndayani, Puji
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01417
dc.subjectZika virusen_US
dc.subjectDynamicsen_US
dc.subjectSocial mediaen_US
dc.subjectReproduction numberen_US
dc.subjectNext generation matrixen_US
dc.subjectBeddington-de angelisen_US
dc.subjectSaturated incidence rateen_US
dc.titleThe effect of social media for a zika virus transmission with beddington deangelis incidence rate: modeling and analysisen_US
dc.typeArticle
dspace.entity.typePublication

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