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.
Highlights
Crimean-Congo hemorrhagic fever is a common disease between human and livestock
We first obtain the approximate solution of the fractional differential equation system (10) by a numerical method, and we present a numerical simulation for the transmission of the Crimean-Congo fever virus
We have presented a box model using the Caputo fractional-order derivative by taking into account the transmission of the Crimean-Congo hemorrhagic fever virus between ticks, animals, and humans
Summary
Crimean-Congo hemorrhagic fever is a common disease between human and livestock. The virus that causes this disease is one of the most important Arthropod-Borne viruses of the Bunyaviridae family, and it is a genus of Nairovirus that can cause severe and deadly disease in humans, but it is not associated with any specific clinical sign in livestock. The most common vector is a tick called Hyalomma, but it is transmitted by other ticks [1]. The average mortality rate among infected people is 30 percent [2]. The first known case of the disease was recorded in 1942 in the Crimean region of the former Soviet Union. The virus that caused the disease was isolated from the blood of a feverish patient in 1956 in the Democratic Republic of the
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