Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan

F Ndaïrou, I Area, JJ Nieto, DFM Torres - Chaos, Solitons & Fractals, 2020 - Elsevier
We propose a compartmental mathematical model for the spread of the COVID-19 disease
with special focus on the transmissibility of super-spreaders individuals. We compute the …

Fractional order mathematical modeling of COVID-19 transmission

S Ahmad, A Ullah, QM Al-Mdallal, H Khan… - Chaos, Solitons & …, 2020 - Elsevier
In this article, the mathematical model with different compartments for the transmission
dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order …

Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations

X Zhai, W Li, F Wei, X Mao - Chaos, Solitons & Fractals, 2023 - Elsevier
We establish a stochastic HIV/AIDS model involving the susceptible with protection
awareness within a total population. The mechanism of dynamic behaviors of the stochastic …

[HTML][HTML] Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data

KS Nisar, S Ahmad, A Ullah, K Shah, H Alrabaiah… - Results in Physics, 2021 - Elsevier
We discuss a fractional-order SIRD mathematical model of the COVID-19 disease in the
sense of Caputo in this article. We compute the basic reproduction number through the next …

[HTML][HTML] Bi-modal COVID-19 transmission with Caputo fractional derivative using statistical epidemic cases

D Baleanu, S Qureshi, A Yusuf, A Soomro… - … Differential Equations in …, 2024 - Elsevier
The progression of the still ongoing COVID-19 epidemic must be studied in the world of
differential operators other than those specified with integer-order temporal derivatives …

[HTML][HTML] Mathematical model to assess the imposition of lockdown during COVID-19 pandemic

IA Baba, A Yusuf, KS Nisar, AH Abdel-Aty, TA Nofal - Results in Physics, 2021 - Elsevier
Nigeria, like most other countries in the world, imposes lockdown as a measure to curtail the
spread of COVID-19. But, it is known fact that in some countries the lockdown strategy could …

A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment

EJ Moore, S Sirisubtawee, S Koonprasert - Advances in Difference …, 2019 - Springer
In recent years, many new definitions of fractional derivatives have been proposed and used
to develop mathematical models for a wide variety of real-world systems containing memory …

Exact solution to a dynamic SIR model

M Bohner, S Streipert, DFM Torres - Nonlinear Analysis: Hybrid Systems, 2019 - Elsevier
We investigate an epidemic model based on Bailey's continuous differential system. In the
continuous time domain, we extend the classical model to time-dependent coefficients and …

Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission

S Arshad, I Siddique, F Nawaz, A Shaheen… - Physica A: Statistical …, 2023 - Elsevier
To achieve the aim of immediately halting spread of COVID-19 it is essential to know the
dynamic behavior of the virus of intensive level of replication. Simply analyzing experimental …

[HTML][HTML] Numerical simulation and analysis of the stochastic hiv/aids model in fractional order

ZUA Zafar, MH DarAssi, I Ahmad, TA Assiri, MZ Meetei… - Results in Physics, 2023 - Elsevier
The current work analyzes the HIV/AIDS model under stochastic fractional differential
equations in the Caputo sense. The articulation of the model both in integer and arbitrary …