Comparative analysis of fractional order dengue model with temperature effect via singular and non-singular operators

• Published in: Chaos, solitons and fractals Vol. 144; p. 110654
• Main Author: Defterli, Ozlem
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2021
• Subjects: Deterministic dengue model; Fractional calculus; Numerical simulations; Temperature; Transmission dynamics; Temperature; Numerical simulations; 92D30; 26A33; Deterministic dengue model; Fractional calculus; Transmission dynamics; 34D05
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2021.110654

•Examining the association between the transmission of dengue virus and temperature as a risk factor by using a newly generalized fractional-order dengue model within Mittag-Leffler kernel based fractional operator in Caputo sense.•Investigating the discrete dynamics of the model via a second-order accurate numerical quadrature rule-based scheme.•Qualitatively analyzing the new model, including the basic reproduction number’s sensitivity to the model parameters.•Investigation of the disease transmission dynamics comparatively given by different fractional operators (with singular and non-singular kernel) and different temperature values in the numerical simulations. In this work, we generalize a (deterministic) mathematical model that anticipates the influence of temperature on dengue transmission incorporating temperature-dependent model parameters. The motivation comes by the epidemiological evidence and several recent studies clearly states fluctuations in temperature, rainfall, and global climate indexes are determinant on the transmission dynamic and epidemic behavior of dengue virus that causes deadly diseases with incidence rates significantly risen worldwide in the past decade. Taking into account the importance of the subject in nowadays and the diversity of fractional calculus operators in mathematical modeling of complex real-world systems, in this paper we investigated the importance of the new model based on Mittag-Leffler kernel as being non-singular kernel. The sensitivity analysis of the generalized model is newly investigated. Numerical simulations are carried out in a comparative sense within the temperature fluctuations for both singular and non-singular fractional operators of different orders.