A Complete Model of Crimean-Congo Hemorrhagic Fever (CCHF) Transmission Cycle with Nonlocal Fractional Derivative | Zendy

Hakimeh Mohammadi | Zendy; Mohammed K. A. Kaabar | Zendy; Jehad Alzabut | Zendy; A‎. George Maria Selvam | Zendy; Shahram Rezapour | Zendy

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A Complete Model of Crimean-Congo Hemorrhagic Fever (CCHF) Transmission Cycle with Nonlocal Fractional Derivative

Author(s) -

Hakimeh Mohammadi,

Mohammed K. A. Kaabar,

Jehad Alzabut,

A‎. George Maria Selvam,

Shahram Rezapour

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/1273405

Subject(s) - crimean–congo hemorrhagic fever , fractional calculus , derivative (finance) , transmission (telecommunications) , congo red , mathematics , stability (learning theory) , virology , computer science , medicine , telecommunications , chemistry , organic chemistry , adsorption , machine learning , economics , financial economics , tick

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.

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