A new fractional HRSV model and its optimal control: a non-singular operator approach

A Jajarmi, A Yusuf, D Baleanu, M Inc - Physica A: Statistical Mechanics and …, 2020 - Elsevier
In the current work, a fractional version of SIRS model is extensively investigated for the
HRSV disease involving a new derivative operator with Mittag-Leffler kernel in the Caputo …

Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection

S Rosa, DFM Torres - Chaos, Solitons & Fractals, 2018 - Elsevier
A human respiratory syncytial virus surveillance system was implemented in Florida in 1999,
to support clinical decision-making for prophylaxis of premature newborns. Recently, a local …

Use of mathematical modelling to assess respiratory syncytial virus epidemiology and interventions: a literature review

JC Lang - Journal of Mathematical Biology, 2022 - Springer
Respiratory syncytial virus (RSV) is a leading cause of acute lower respiratory tract infection
worldwide, resulting in approximately sixty thousand annual hospitalizations of< 5-year-olds …

Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate

A Boukhouima, EM Lotfi, M Mahrouf, S Rosa… - The European Physical …, 2021 - Springer
We investigate the celebrated mathematical SICA model but using fractional differential
equations in order to better describe the dynamics of HIV-AIDS infection. The infection …

Numerical fractional optimal control of respiratory syncytial virus infection in octave/matlab

S Rosa, DFM Torres - Mathematics, 2023 - mdpi.com
In this article, we develop a simple mathematical GNU Octave/MATLAB code that is easy to
modify for the simulation of mathematical models governed by fractional-order differential …

Deterministic modeling of dysentery diarrhea epidemic under fractional Caputo differential operator via real statistical analysis

HW Berhe, S Qureshi, AA Shaikh - Chaos, Solitons & Fractals, 2020 - Elsevier
Non-Markovian characteristics, possessing memory effects and hereditary properties, play a
vital role when it comes to the transmission dynamics of a disease or an epidemic within …

Fractional modelling and optimal control of COVID-19 transmission in Portugal

S Rosa, DFM Torres - Axioms, 2022 - mdpi.com
A fractional-order compartmental model was recently used to describe real data of the first
wave of the COVID-19 pandemic in Portugal [Chaos Solitons Fractals 144 (2021), Art …

[HTML][HTML] An investigation on the monkeypox virus dynamics in human and rodent populations for a deterministic mathematical model

L Leandry, EW Mureithi - Informatics in Medicine Unlocked, 2023 - Elsevier
A mathematical deterministic model for the dynamics of Monkeypox disease is developed.
Monkeypox is a viral zoonotic disease that can be transmitted to humans, through contact …

Hybrid method for simulation of a fractional COVID-19 model with real case application

A Din, A Khan, A Zeb, MR Sidi Ammi, M Tilioua… - Axioms, 2021 - mdpi.com
In this research, we provide a mathematical analysis for the novel coronavirus responsible
for COVID-19, which continues to be a big source of threat for humanity. Our fractional-order …

Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus …

TN Vo, M Razzaghi, PT Toan - Soft Computing, 2022 - Springer
We give a novel method to solve systems of nonlinear fractional differential equations
(NFDEs). We first introduce a new class of basis functions called fractional-order …