Cholera disease dynamics with vaccination control using delay differential equation

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dc.authoridSINGH, JASKIRAT PAL/0000-0002-8938-1289
dc.contributor.authorSingh, Jaskirat Pal
dc.contributor.authorKumar, Sachin
dc.contributor.authorAkgul, Ali
dc.contributor.authorHassani, Murad Khan
dc.date.accessioned2024-12-24T19:27:58Z
dc.date.available2024-12-24T19:27:58Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe COVID-19 pandemic came with many setbacks, be it to a country's economy or the global missions of organizations like WHO, UNICEF or GTFCC. One of the setbacks is the rise in cholera cases in developing countries due to the lack of cholera vaccination. This model suggested a solution by introducing another public intervention, such as adding Chlorine to water bodies and vaccination. A novel delay differential model of fractional order was recommended, with two different delays, one representing the latent period of the disease and the other being the delay in adding a disinfectant to the aquatic environment. This model also takes into account the population that will receive a vaccination. This study utilized sensitivity analysis of reproduction number to analytically prove the effectiveness of control measures in preventing the spread of the disease. This analysis provided the mathematical evidence for adding disinfectants in water bodies and inoculating susceptible individuals. The stability of the equilibrium points has been discussed. The existence of stability switching curves is determined. Numerical simulation showed the effect of delay, resulting in fluctuations in some compartments. It also depicted the impact of the order of derivative on the oscillations.
dc.description.sponsorshipCouncil of Scientific and Industrial Research, India [09/1051(12023)/2021- EMR-I]; CSIR Research Grant [SR/FST/MS-I/2021/104]; Scheme Fund for Improvement of S &T Infrastructure (FIST) of the Department of Science & Technology (DST), Government of India
dc.description.sponsorshipJaskirat Pal Singh, the author, gratefully thanks the CSIR Research Grant: 09/1051(12023)/2021- EMR-I. The Author Sachin Kumar acknowledges the financial support given under the Scheme Fund for Improvement of S &T Infrastructure (FIST) of the Department of Science & Technology (DST), Government of India, as demonstrated by letter number SR/FST/MS-I/2021/104.
dc.identifier.doi10.1038/s41598-024-66580-2
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid39075130
dc.identifier.scopus2-s2.0-85199974785
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-024-66580-2
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6862
dc.identifier.volume14
dc.identifier.wosWOS:001280635000082
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCholera
dc.subjectdelay differential equation
dc.subjectStability analysis
dc.subjectSensitivity analysis
dc.subjectBifurcation analysis
dc.subjectPredictor-corrector method
dc.subjectCaputo derivative
dc.titleCholera disease dynamics with vaccination control using delay differential equation
dc.typeArticle

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