Deterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorAraz, Seda Igret
dc.date.accessioned2024-12-24T19:34:04Z
dc.date.available2024-12-24T19:34:04Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractMany real world problems depict processes following crossover behaviours. Modelling processes following crossover behaviors have been a great challenge to mankind. Indeed real world problems following crossover from Markovian to randomness processes have been observed in many scenarios, for example in epidemiology with spread of infectious diseases and even some chaos. Deterministic and stochastic methods have been developed independently to develop the future state of the system and randomness respectively. Very recently, Atangana and Seda introduced a new concept called piecewise differentiation and integration, this approach helps to capture processes with crossover effects. In this paper, an example of piecewise modelling is presented with illustration to chaos problems. Some important analysis including a piecewise existence and uniqueness and piecewise numerical scheme are presented. Numerical simulations are performed for different cases.
dc.identifier.doi10.3934/mbe.2022163
dc.identifier.endpage3563
dc.identifier.issn1547-1063
dc.identifier.issn1551-0018
dc.identifier.issue4
dc.identifier.pmid35341263
dc.identifier.scopus2-s2.0-85124809538
dc.identifier.scopusqualityQ1
dc.identifier.startpage3526
dc.identifier.urihttps://doi.org/10.3934/mbe.2022163
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8409
dc.identifier.volume19
dc.identifier.wosWOS:000755775300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofMathematical Biosciences and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectStochastic-deterministic models
dc.subjectpiecewise existence and uniqueness
dc.subjectpiecewise numerical scheme
dc.subjectnew classes of chaotic attractors
dc.titleDeterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect
dc.typeArticle

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