FRACTIONAL MODELING AND NUMERICAL SIMULATION FOR UNFOLDING MARBURG–MONKEYPOX VIRUS CO-INFECTION TRANSMISSION

Nan Zhang, Emmanuel Addai, Lingling Zhang, Mercy Ngungu, Edmore Marinda and Joshua Kiddy K. Asamoah
Additional contact information
Nan Zhang: Department of Mathematics, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China
Emmanuel Addai: Department of Mathematics, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China†College of Biomedical Engineering, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China
Lingling Zhang: Department of Mathematics, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China
Mercy Ngungu: ��Human Sciences Research Council (HSRC), South Africa
Edmore Marinda: ��Human Sciences Research Council (HSRC), South Africa
Joshua Kiddy K. Asamoah: �Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-23

Abstract: In this paper, we investigate a deterministic mathematical model of Marburg–Monkeypox virus co-infection transmission under the Caputo fractional-order derivative. We discussed the dynamics behavior of the model and carried out qualitative and quantitative analysis, including the positivity–boundedness of solution, and the basic reproduction number ℜo. In addition, the Banach and Schauder-type fixed point theorem is utilized to explore the existence–uniqueness of the solution in the suggested model and the proposed model stability under the Ulam–Hyers condition is demonstrated. In numerical simulation, the Predictor–Corrector method is used to determine the numerical solutions. According to the numerical result, increasing the rate of quarantine and detecting unknown Marburg virus, will be the most effective control intervention to reduce Marburg and Monkeypox virus transmission in the population.

Keywords: Marburg Virus Infection; Monkeypox Virus; Caputo Fractional Derivative; Numerical Simulation (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X2350086X
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:07:n:s0218348x2350086x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X2350086X

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().