DOAJ Open Access 2025

On finite-time stability of some COVID-19 models using fractional discrete calculus

Shaher Momani Iqbal M. Batiha Issam Bendib Abeer Al-Nana Adel Ouannas +1 lainnya

Abstrak

This study investigates the finite-time stability of fractional-order (FO) discrete Susceptible–Infected–Recovered (SIR) models for COVID-19, incorporating memory effects to capture real-world epidemic dynamics. We use discrete fractional calculus to analyze the stability of disease-free and pandemic equilibrium points. The theoretical framework introduces essential definitions, finite-time stability (FTS) criteria, and novel fractional-order modeling insights. Numerical simulations validate the theoretical results under various parameters, demonstrating the finite-time convergence to equilibrium states. Results highlight the flexibility of FO models in addressing delayed responses and prolonged effects, offering enhanced predictive accuracy over traditional integer-order approaches. This research contributes to the design of effective public health interventions and advances in mathematical epidemiology.

Topik & Kata Kunci

Computer applications to medicine. Medical informatics

Penulis (6)

Shaher Momani

Iqbal M. Batiha

Issam Bendib

Abeer Al-Nana

Adel Ouannas

Mohamed Dalah

Format Sitasi

APA MLA BibTeX

Momani, S., Batiha, I.M., Bendib, I., Al-Nana, A., Ouannas, A., Dalah, M. (2025). On finite-time stability of some COVID-19 models using fractional discrete calculus. https://doi.org/10.1016/j.cmpbup.2025.100188

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.1016/j.cmpbup.2025.100188
Akses: Open Access ✓