Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

A new fractional modelling and control strategy for the outbreak of dengue fever

dc.contributor.authorJajarmi, A.
dc.contributor.authorArshad, S.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-12-09T07:45:52Z
dc.date.available2020-12-09T07:45:52Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper deals with a new mathematical model for a dengue fever outbreak based on a system of fractional differential equations. The equilibrium points and stability of the new system are studied. To simulate this model, a new and efficient numerical method is provided and its stability and convergence are proved. According to a real outbreak on the Cape Verde Islands occurred in year 2009, the new model is examined for a period of three months by using singular or nonsingular kernels in the definition of derivative operator. Simulation results show that the proposed formalism with exponential kernel agrees well with the real data in the early stage of the epidemic while the Mittag-Leffler kernel fits the reality for the later part of the time interval. Hence, the new framework in a hybrid manner can properly simulate the dynamics of the disease in the whole of the time interval. In order to stabilize the disease-free equilibrium point of the system under investigation, two control strategies are suggested. Numerical simulations verify that the proposed stabilizing controllers are efficient and provide significantly remarkable results.en_US
dc.description.publishedMonth12
dc.identifier.citationJajarmi, A.; Arshad, S.; Baleanu, Dumitru (2019). "A new fractional modelling and control strategy for the outbreak of dengue fever", Physica A: Statistical Mechanics and its Applications, Vol. 535, No. 1.en_US
dc.identifier.doi10.1016/j.physa.2019.122524
dc.identifier.issn0378-4371
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4316
dc.identifier.volume535en_US
dc.language.isoenen_US
dc.relation.ispartofPhysica A: Statistical Mechanics and its Applicationsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDengue Modelen_US
dc.subjectFractional Derivativeen_US
dc.subjectNonsingular Kernelen_US
dc.subjectStabilizing Controlleren_US
dc.subjectTrapezoidal Methoden_US
dc.titleA new fractional modelling and control strategy for the outbreak of dengue fevertr_TR
dc.titleA New Fractional Modelling and Control Strategy for the Outbreak of Dengue Feveren_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: