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A New Fractional Sirs-Si Malaria Disease Model With Application of Vaccines, Antimalarial Drugs, and Spraying

dc.contributor.author Singh, Jagdev
dc.contributor.author Al Qurashi, Maysaa
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Kumar, Devendra
dc.date.accessioned 2019-12-26T12:21:14Z
dc.date.accessioned 2025-09-18T12:08:19Z
dc.date.available 2019-12-26T12:21:14Z
dc.date.available 2025-09-18T12:08:19Z
dc.date.issued 2019
dc.description Kumar, Devendra/0000-0003-4249-6326 en_US
dc.description.abstract The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. The SIRS-SI malaria model is modified by using the Caputo-Fabrizio fractional operator for the inclusion of memory. We also suggest the utilization of vaccines, antimalarial medicines, and spraying for the treatment and control of the malaria disease. The theory of fixed point is utilized to examine the existence of the solution of a fractional SIRS-SI model describing spreading of malaria. The uniqueness of the solution of SIRS-SI model for malaria is also analyzed. It is shown that the treatments have great impact on the dynamical system of human and mosquito populations. The numerical simulation of fractional SIRS-SI malaria model is performed with the aid of HATM and Maple packages to show the effect of different parameters of the treatment of malaria disease. The numerical results for fractional SIRS-SI malaria model reveal that the recommended approach is very accurate and effective. en_US
dc.description.sponsorship International Scientific Partnership Program ISPP at King Saud University [63]; Interreg [63] Funding Source: Interreg en_US
dc.description.sponsorship The authors extend their appreciation to the International Scientific Partnership Program ISPP at King Saud University for funding this research work through ISPP# 63. en_US
dc.identifier.citation Kumar, Devendra...et al. (2019). "A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying", Advances in Difference Equations. en_US
dc.identifier.doi 10.1186/s13662-019-2199-9
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85068742343
dc.identifier.uri https://doi.org/10.1186/s13662-019-2199-9
dc.identifier.uri https://hdl.handle.net/20.500.12416/11101
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Fractional Sirs-Si Malaria Model en_US
dc.subject Fixed Point Theorem en_US
dc.subject Caputo-Fabrizio Fractional Operator en_US
dc.subject Hatm en_US
dc.title A New Fractional Sirs-Si Malaria Disease Model With Application of Vaccines, Antimalarial Drugs, and Spraying en_US
dc.title A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Kumar, Devendra/0000-0003-4249-6326
gdc.author.scopusid 57192576535
gdc.author.scopusid 55467157900
gdc.author.scopusid 57045880100
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gdc.author.wosid Singh, Jagdev/Aac-1015-2019
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Kumar, Devendra/B-9638-2017
gdc.author.yokid 56389
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Kumar, Devendra] Univ Rajasthan, Dept Math, Jaipur, Rajasthan, India; [Singh, Jagdev] JECRC Univ, Dept Math, Jaipur, Rajasthan, India; [Al Qurashi, Maysaa] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2019
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Caputo–Fabrizio fractional operator
gdc.oaire.keywords Immunology
gdc.oaire.keywords HATM
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Health Sciences
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Disease
gdc.oaire.keywords Internal medicine
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Fractional SIRS-SI malaria model
gdc.oaire.keywords Fixed point theorem
gdc.oaire.keywords FOS: Clinical medicine
gdc.oaire.keywords Public Health, Environmental and Occupational Health
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Malaria
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Disease Transmission and Population Dynamics
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Medicine
gdc.oaire.keywords Uniqueness
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Epidemiology
gdc.oaire.keywords fixed point theorem
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Caputo-Fabrizio fractional operator
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords fractional SIRS-SI malaria model
gdc.oaire.keywords Population dynamics (general)
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gdc.opencitations.count 118
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gdc.publishedmonth 7
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gdc.virtual.author Baleanu, Dumitru
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