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Dynamics Analysis of a Delayed Crimean-Congo Hemorrhagic Fever Virus Model in Humans.

Authors :
Al-Jubouri, Karrar Qahtan
Naji, Raid Kamel
Source :
Journal of Applied Mathematics; 1/23/2024, p1-17, 17p
Publication Year :
2024

Abstract

Given that the Crimean and Congo hemorrhagic fever is one of the deadly viral diseases that occur seasonally due to the activity of the carrier "tick," studying and developing a mathematical model simulating this illness are crucial. Due to the delay in the disease's incubation time in the sick individual, the paper involved the development of a mathematical model modeling the transmission of the disease from the carrier to humans and its spread among them. The major objective is to comprehend the dynamics of illness transmission so that it may be controlled, as well as how time delay affects this. The discussion of every one of the solution's qualitative attributes is included. According to the established basic reproduction number, the stability analysis of the endemic equilibrium point and the disease-free equilibrium point is examined for the presence or absence of delay. Hopf bifurcation's triggering circumstance is identified. Using the center manifold theorem and the normal form, the direction and stability of the bifurcating Hopf bifurcation are explored. The next step is sensitivity analysis, which explains the set of control settings that have an impact on how the system behaves. Finally, to further comprehend the model's dynamical behavior and validate the discovered analytical conclusions, numerical simulation has been used. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1110757X
Database :
Complementary Index
Journal :
Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
174973012
Full Text :
https://doi.org/10.1155/2024/4818840