[HTML][HTML] A fractional-order tuberculosis model with efficient and cost-effective optimal control interventions
This study is concerned with applying fractional calculus in modelling tuberculosis (TB)
transmission dynamics. A new six-dimensional fractional-order mathematical model in the …
transmission dynamics. A new six-dimensional fractional-order mathematical model in the …
Fractional optimal control model and bifurcation analysis of human syncytial respiratory virus transmission dynamics
In this paper, the Caputo-based fractional derivative optimal control model is looked at to
learn more about how the human respiratory syncytial virus (RSV) spreads. Model solution …
learn more about how the human respiratory syncytial virus (RSV) spreads. Model solution …
Fractional-order modelling and optimal control of cholera transmission
S Rosa, DFM Torres - Fractal and Fractional, 2021 - mdpi.com
A Caputo-type fractional-order mathematical model for “metapopulation cholera
transmission” was recently proposed in [Chaos Solitons Fractals 117 (2018), 37–49]. A …
transmission” was recently proposed in [Chaos Solitons Fractals 117 (2018), 37–49]. A …
Mathematical analysis of a fractional COVID-19 model applied to Wuhan, Spain and Portugal
F Ndaïrou, DFM Torres - Axioms, 2021 - mdpi.com
We propose a qualitative analysis of a recent fractional-order COVID-19 model. We start by
showing that the model is mathematically and biologically well posed. Then, we give a proof …
showing that the model is mathematically and biologically well posed. Then, we give a proof …
Dynamic analysis and optimal control for a fractional-order delayed SIR epidemic model with saturated treatment
X Cui, D Xue, F Pan - The European Physical Journal Plus, 2022 - Springer
This paper studies a fractional-order delayed susceptible–infected–recovered epidemic
model with saturated incidence rate and saturated treatment function. In particular, the …
model with saturated incidence rate and saturated treatment function. In particular, the …
A dynamically-consistent nonstandard finite difference scheme for the SICA model
S Vaz, DFM Torres - arXiv preprint arXiv:2105.10826, 2021 - arxiv.org
In this work, we derive a nonstandard finite difference scheme for the SICA (Susceptible-
Infected-Chronic-AIDS) model and analyze the dynamical properties of the discretized …
Infected-Chronic-AIDS) model and analyze the dynamical properties of the discretized …
On the existence and numerical simulation of Cholera epidemic model
A model describing the transmission dynamics of cholera is considered in this article. The
concerned model is investigated under the Caputo-Fabrizio fractal fractional derivative. The …
concerned model is investigated under the Caputo-Fabrizio fractal fractional derivative. The …
Fractional modeling and optimal control strategies for mutated COVID‐19 pandemic
W Ma, N Ma, C Dai, YQ Chen… - Mathematical Methods in …, 2022 - Wiley Online Library
As the COVID‐19 continues to mutate, the number of infected people is increasing
dramatically, and the vaccine is not enough to fight the mutated strain. In this paper, a SEIR …
dramatically, and the vaccine is not enough to fight the mutated strain. In this paper, a SEIR …
[PDF][PDF] Numerical Solutions of a Novel Designed Prevention Class in the HIV Nonlinear Model.
The presented research aims to design a new prevention class (P) in the HIV nonlinear
system, ie, the HIPV model. Then numerical treatment of the newly formulated HIPV model is …
system, ie, the HIPV model. Then numerical treatment of the newly formulated HIPV model is …
[PDF][PDF] Focus point: cancer and HIV/AIDS dynamics—from optimality to modelling
Human cancer is a multistep process involving acquired genetic mutations, each of which
imparts a particular type of growth advantage to the cell and ultimately leads to the …
imparts a particular type of growth advantage to the cell and ultimately leads to the …