Sep 2026· INTERNATIONAL JOURNAL OF APPLIED SCIENCE AND MATHEMATICAL THEORY· pp. 30· 0 citations
TL;DR
A non-linear fractional-order mathematical model describing the transmission dynamics of Ebola virus disease is developed and shows that the disease-free equilibrium points are both locally and globally asymptotically stable.
Abstract
A non-linear fractional-order mathematical model describing the transmission dynamics of Ebola
virus disease is developed. The model consists of a system of fourteen non-linear fractional
differential equations of order 𝛼. The non-negativity of solutions is established, demonstrating that
the model is biologically meaningful and mathematically well-posed. The disease-free equilibrium
points are derived, and their stability properties are investigated through the construction of
appropriate Lyapunov functions. The results show that the disease-free equilibrium points are both
locally and globally asymptotically stable. Numerical simulations are performed to illustrate the
theoretical results and to further examine the dynamical behavior of the model.
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Ebola virus disease is a highly infectious and life-threatening illness that poses a major public
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