A Complete Model of Crimean-Congo Hemorrhagic Fever (CCHF) Transmission Cycle with Nonlocal Fractional Derivative. (29th June 2021)

• Record Type: Journal Article
• Authors: Mohammadi, Hakimeh; Kaabar, Mohammed K. A.; Alzabut, Jehad; Selvam, A. George Maria; Rezapour, Shahram
• Other Names: Guran Liliana Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-06-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/1273405
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Crimean-Congo hemorrhagic fever is a common disease between humans and animals that is transmitted to humans through infected ticks, contact with infected animals, and infected humans. In this paper, we present a boxed model for the transmission of Crimean-Congo fever virus. With the help of the fixed-point theory, our proposed system model is investigated in detail to prove its unique solution. Given that the Caputo fractional-order derivative preserves the system's historical memory, we use this fractional derivative in our modeling. The equilibrium points of the proposed system and their stability conditions are determined. Using the Euler method for the Caputo fractional-order derivative, we calculate the approximate solutions of the fractional system, and then, we present a numerical simulation for the transmission of Crimean-Congo hemorrhagic fever.