Modeling Marburg virus transmission in fuzzy-fractional framework using real epidemiological data of World Health Organization

Highly contagious hemorrhagic fever known as Marburg Virus Disease (MVD), which is comparable to Ebola, is contracted by direct contact
with an infected person’s bodily fluids. In this study, actual outbreak data of Rwanda are taken from World Health Organization to con-
struct fuzzy-fractional SEIR model for predicting the dynamics of MVD transmission. Fractional order derivatives are utilized to incorporate
memory effect in modeling the dynamics of MVD. In addition, most of the viral dynamics are uncertain, and to incorporate fuzzification in
frequently encountered controlling parameters, triangular fuzzy numbers are used to normalize limited or inaccurate epidemiological data.
For solution and analysis purposes, an extended version of residual power series method (RPSM) is utilized, in which standard RPSM is com-
bined with Laplace transform in fuzzy-Caputo sense. The findings reveals that fuzzy-fractional calculus provides a more flexible and realistic
framework for modeling and predicting MVD spreads and can assist in developing more efficient public health strategies.

Fatima, Q., Qayyum, M., Khan, O., & Chambashi, G. (2025). Modeling Marburg virus transmission in fuzzy-fractional framework using real epidemiological data of World Health Organization. AIP Advances, 15, 105117. https://doi.org/10.1063/5.0296294


Item Type:
Article
Subjects:
Public Health
Divisions:
Fractional calculus, Integral transforms, Mathematical modeling, Fuzzy numbers, Power series, Diseases and conditions, Viruses
Depositing User:
Qursam Fatima, Mubashir Qayyum, Omar Khan, and Gilbert Chambashi
Date Deposited:
October 14, 2025