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Numerical and Bifurcation Analysis of Spatio-Temporal Delay Epidemic Model

dc.contributor.author Rehman, Muhammad Aziz Ur
dc.contributor.author Ahmed, Nauman
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Rafiq, Muhammad
dc.contributor.author Jawaz, Muhammad
dc.date.accessioned 2022-08-25T08:19:47Z
dc.date.accessioned 2025-09-18T12:48:13Z
dc.date.available 2022-08-25T08:19:47Z
dc.date.available 2025-09-18T12:48:13Z
dc.date.issued 2021
dc.description Jawaz, Muhammad/0000-0002-5005-5101; Ur-Rehman, Aziz-/0009-0007-4185-7675; Rafiq, Muhammad/0000-0002-2165-3479 en_US
dc.description.abstract HIV/AIDS is a distressing and incurable disease of the human beings. In this article, we have proposed a numerical structure for the HIV/AIDS compartmental model with diffusion and delay process. The proposed scheme has the proficiency to preserve the positivity of the state variables. Also, the proposed scheme leads to the consistency and stability. Two equilibrium states of the model have been described. Moreover, the stability of the scheme is examined at these two states. The contribution of the basic reproductive number R-0, in stability analysis is also investigated. The bifurcation value of the infection parameter gamma, for different situations of tau is also investigated. Graphical solutions with the aid of computer simulations are presented to clarify the paramount features of the proposed numerical design. en_US
dc.identifier.citation Jawaz, Muhammad...et al. (2021). "Numerical and bifurcation analysis of spatio-temporal delay epidemic model", Results in Physics, Vol. 22. en_US
dc.identifier.doi 10.1016/j.rinp.2021.103851
dc.identifier.issn 2211-3797
dc.identifier.scopus 2-s2.0-85100379416
dc.identifier.uri https://doi.org/10.1016/j.rinp.2021.103851
dc.identifier.uri https://hdl.handle.net/20.500.12416/12017
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.ispartof Results in Physics
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Hiv Infection en_US
dc.subject Reaction-Diffusion en_US
dc.subject Time Delay en_US
dc.subject Structure Preserving en_US
dc.title Numerical and Bifurcation Analysis of Spatio-Temporal Delay Epidemic Model en_US
dc.title Numerical and bifurcation analysis of spatio-temporal delay epidemic model tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Jawaz, Muhammad/0000-0002-5005-5101
gdc.author.id Ur-Rehman, Aziz-/0009-0007-4185-7675
gdc.author.id Rafiq, Muhammad/0000-0002-2165-3479
gdc.author.scopusid 57214467981
gdc.author.scopusid 59158105200
gdc.author.scopusid 57210525245
gdc.author.scopusid 7005872966
gdc.author.scopusid 55960372700
gdc.author.wosid Ahmed, Nauman/Aea-3375-2022
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Rafiq, Muhammad/Gnw-5095-2022
gdc.author.wosid Rehman, Muhammad/Iun-6032-2023
gdc.author.yokid 56389
gdc.bip.impulseclass C4
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gdc.bip.popularityclass C4
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 [Jawaz, Muhammad; Rehman, Muhammad Aziz Ur] Univ Management & Technol, Dept Math, Lahore, Pakistan; [Ahmed, Nauman] Univ Lahore, Dept Math & Stat, Lahore, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Rafiq, Muhammad] Univ Cent Punjab, Fac Sci, Dept Math, Lahore, Pakistan en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 103851
gdc.description.volume 22 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Artificial intelligence
gdc.oaire.keywords Epidemic Models
gdc.oaire.keywords QC1-999
gdc.oaire.keywords Population
gdc.oaire.keywords Health Professions
gdc.oaire.keywords Bifurcation diagram
gdc.oaire.keywords Control (management)
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Biochemistry, Genetics and Molecular Biology
gdc.oaire.keywords Epidemic model
gdc.oaire.keywords Health Sciences
gdc.oaire.keywords Machine learning
gdc.oaire.keywords Genetics
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Control theory (sociology)
gdc.oaire.keywords Hopf bifurcation
gdc.oaire.keywords Reaction-diffusion
gdc.oaire.keywords Stability (learning theory)
gdc.oaire.keywords Scheme (mathematics)
gdc.oaire.keywords Evolutionary Dynamics of Genetic Adaptation and Mutation
gdc.oaire.keywords Physics
gdc.oaire.keywords Public Health, Environmental and Occupational Health
gdc.oaire.keywords Numerical stability
gdc.oaire.keywords Life Sciences
gdc.oaire.keywords Computer simulation
gdc.oaire.keywords HIV infection
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Computer science
gdc.oaire.keywords Basic reproduction number
gdc.oaire.keywords Structure preserving
gdc.oaire.keywords Environmental health
gdc.oaire.keywords Disease Transmission and Population Dynamics
gdc.oaire.keywords FOS: Biological sciences
gdc.oaire.keywords General Health Professions
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Medicine
gdc.oaire.keywords Bifurcation
gdc.oaire.keywords Adolescent Sexual Health and Behavior Patterns
gdc.oaire.keywords Time delay
gdc.oaire.keywords Consistency (knowledge bases)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Simulation
gdc.oaire.keywords Numerical analysis
gdc.oaire.popularity 7.0022415E-9
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gdc.oaire.sciencefields 01 natural sciences
gdc.oaire.sciencefields 03 medical and health sciences
gdc.oaire.sciencefields 0302 clinical medicine
gdc.oaire.sciencefields 0101 mathematics
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gdc.opencitations.count 7
gdc.plumx.crossrefcites 7
gdc.plumx.mendeley 9
gdc.plumx.scopuscites 8
gdc.publishedmonth 3
gdc.scopus.citedcount 8
gdc.virtual.author Baleanu, Dumitru
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