Modeling Crimean-Congo Hemorrhagic fever with behavioral awareness: Mathematical analysis via Chebyshev spectral collocation solutions
By: Waleed Adel
References
- Marty A.M., Jahrling P.B., Geisbert T.W., Viral hemorrhagic fevers, Clinics in Laboratory Medicine, 26(2), 345–386, 2006.
- Shahhosseini N., et al., Crimean-Congo hemorrhagic fever virus in Asia, Africa and Europe, Microorganisms, 9(9), 1907, 2021.
- Mardani M., Jahromi M.K., Crimean-Congo hemorrhagic fever, Archives of Iranian Medicine, 10(2), 204–214, 2007.
- Gmyl L.V., Karganova G.G., Smirnova S.E., Lashkevich V.A., Virus-specific proteins of Crimean-Congo hemorrhagic fever, Voprosy Virusologii, 46(3), 16–21, 2001.
- Swanepoel R., et al., The clinical pathology of Crimean-Congo hemorrhagic fever, Reviews of Infectious Diseases, 11(Suppl. 4), 794–800, 1989.
- Sabir D.K., et al., Epidemiological study of the 2023 Crimean-Congo hemorrhagic fever outbreak in Iraq, IJID One Health, 2, 100017, 2024.
- Zeb A., Kumar P., Erturk V.S., Sitthiwirattham T., A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms, Journal of King Saud University-Science, 34(4), 101914, 2022.
- Rezapour S., Etemad S., Mohammadi H., A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals, Advances in Difference Equations, 2020(1), 481, 2020.
- Alshehri H.M., Khan A., A fractional order Hepatitis C mathematical model with Mittag–Leffler kernel, Journal of Function Spaces, 2021(1), 2524027, 2021.
- Kumar P., Erturk V.S., Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative, Chaos, Solitons & Fractals, 144, 110672, 2021.
- Mohammadi H., Kumar S., Rezapour S., Etemad S., A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control, Chaos, Solitons & Fractals, 144, 110668, 2021.
- Begum R., et al., A fractional order Zika virus model with Mittag–Leffler kernel, Chaos, Solitons & Fractals, 146, 110898, 2021.
- Kumar P., Erturk V.S., Almusawa H., Mathematical structure of mosaic disease using microbial biostimulants via Caputo and Atangana–Baleanu derivatives, Results in Physics, 24, 104186, 2021.
- Kumar P., et al., A study on canine distemper virus (CDV) and rabies epidemics in the red fox population via fractional derivatives, Results in Physics, 25, 104281, 2021.
- Asamoah J.K.K., et al., Non-fractional and fractional mathematical analysis and simulations for Q fever, Chaos, Solitons & Fractals, 156, 111821, 2022.
- Omame A., Nwajeri U.K., Abbas M., Onyenegecha C.P., A fractional order control model for Diabetes and COVID-19 co-dynamics with Mittag–Leffler function, Alexandria Engineering Journal, 61(10), 7619–7635, 2022.
- Etemad S., et al., A mathematical model of transmission cycle of CC-Hemorrhagic fever via fractal-fractional operators and numerical simulations, Results in Physics, 40, 105800, 2022.
- Al-Joubouri K.Q., Naji R.K., Dynamics analysis of a delayed Crimean–Congo hemorrhagic fever virus model in humans, Journal of Applied Mathematics, 2024(1), 4818840, 2024.
- Bhowmick S., et al., Ticks on the run: A mathematical model of Crimean–Congo hemorrhagic fever (CCHF)Key factors for transmission, Epidemiologia, 3(1), 116–134, 2022.
- Mohammadi H., et al., A complete model of Crimean–Congo Hemorrhagic Fever (CCHF) transmission cycle with nonlocal fractional derivative, Journal of Function Spaces, 2021(1), 1273405, 2021.
- Vesga J.F., et al., Transmission dynamics and vaccination strategies for Crimean–Congo hemorrhagic fever virus in Afghanistan: A modelling study, PLoS Neglected Tropical Diseases, 16(5), e0010454, 2022.
- Funk S., Gilad E., Watkins C., Jansen V.A.A., The spread of awareness and its impact on epidemic outbreaks, Proceedings of the National Academy of Sciences, 106(16), 6872–6877, 2009.
- Misra A.K., Sharma A., Shukla J.B., Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases, Mathematical and Computer Modelling, 53(5-6), 1221–1228, 2011.
- Kutluay S., Yagmurlu N.M., Karakas A.S., A robust septic Hermite collocation technique for Dirichlet boundary condition heat conduction equation, International Journal of Mathematics and Computer in Engineering, 3(2), 253–266, 2025.
- Kutluay S., Yagmurlu N.M., Karaka A.S., A novel perspective for simulations of the Modified Equal Width Wave equation by cubic Hermite B-spline collocation method, Wave Motion, 129, 103342, 2024.
- Boyd J.P. Chebyshev and Fourier Spectral Methods (2nd Ed.), Courier Corporation, Dover Publication, USA, 2001.
- Trefethen L.N. Spectral Methods in MATLAB, Society for Industrial and Applied Mathematics, USA, 2000.
- Greenhalgh D., et al., Awareness programs control infectious disease–multiple delay induced mathematical model, Applied Mathematics and Computation, 251, 539–563, 2015.
- World Health Organization, Crimean-Congo Hemorrhagic Fever in Iraq, WHO Disease Outbreak News, 2023.
- World Health Organization, Crimean-Congo Hemorrhagic Fever, WHO Fact Sheets, 2023.
DOI: https://doi.org/10.2478/ijmce-2026-0020 | Journal eISSN: 2956-7068
Language: English
Page range: 373 - 404
Submitted on: Jan 23, 2026
Accepted on: May 22, 2026
Published on: Jun 2, 2026
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Related subjects:
© 2026 Waleed Adel, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.