[HTML][HTML] Dynamic modelling and optimal control analysis of a fractional order chikungunya disease model with temperature effects

E Lusekelo, M Helikumi, D Kuznetsov… - Results in Control and …, 2023 - Elsevier
Abstract Approximately 1.3 billion inhabitants in 94 countries are estimated to be at risk of
chikungunya virus infection. A mechanistic compartmental model based on fractional …

Dynamics of a Fractional‐Order Chikungunya Model with Asymptomatic Infectious Class

M Helikumi, G Eustace… - … Mathematical Methods in …, 2022 - Wiley Online Library
In this paper, a nonlinear fractional‐order chikungunya disease model that incorporates
asymptomatic infectious individuals is proposed and analyzed. The main interest of this work …

On the mathematical modeling of measles disease dynamics with encephalitis and relapse under the Atangana–Baleanu–Caputo fractional operator and real …

OM Ogunmiloro, AS Idowu, TO Ogunlade… - International Journal of …, 2021 - Springer
In this paper, a population based mathematical model describing the transmission of
measles disease with double vaccination dose, treatment and two groups of measles …

[HTML][HTML] Dog screening as a novel complementary guinea worm disease control tool to mitigate persistence in Chad: A modeling study

M Helikumi, S Mushayabasa - Parasite Epidemiology and Control, 2023 - Elsevier
A free-roaming dog population remains one of the major public health problems in many
developing countries. In this study, we investigated the potential impact of owned roaming …

On the Dynamics of a Fractional‐Order Ebola Epidemic Model with Nonlinear Incidence Rates

M Chinyoka, TB Gashirai… - Discrete Dynamics in …, 2021 - Wiley Online Library
We propose a new fractional‐order model to investigate the transmission and spread of
Ebola virus disease. The proposed model incorporates relevant biological factors that …

Optimal solution of nonlinear 2D variable-order fractional optimal control problems using generalized Bessel polynomials

Z Avazzadeh, H Hassani… - Journal of Vibration …, 2024 - journals.sagepub.com
This study aims to propose a new optimization method based on the generalized Bessel
polynomials (GBPs) as a class of basis functions for a category of nonlinear two-dimensional …

Fractional Order Mathematical Modelling of HFMD Transmission via Caputo Derivative

A Mohandoss, G Chandrasekar, MZ Meetei, AH Msmali - Axioms, 2024 - mdpi.com
This paper studies a nonlinear fractional mathematical model for hand, foot, and mouth
Disease (HFMD), incorporating a vaccinated compartment. Our initial focus involves …

Bessel Polynomials: Application in Finding Optimal Solution of Fractional COVID-19 Model Using Lagrange Multipliers

H Saeidi, MS Dahaghin, S Mehrabi… - Iranian Journal of Science, 2024 - Springer
After the outbreak of coronavirus disease, numerous models have been proposed for it. In
this paper, a fractional mathematical model for COVID-19 is introduced. Applying …

[HTML][HTML] Modelling Foot and Mouth Disease in the Context of Active Immigrants

IS Mfinanga, N Shaban, T Marijani - Journal of Applied Mathematics and …, 2024 - scirp.org
This study employs mathematical modeling to analyze the impact of active immigrants on
Foot and Mouth Disease (FMD) transmission dynamics. We calculate the reproduction …

[PDF][PDF] Results in Control and Optimization

E Lusekelo, M Helikumi, D Kuznetsov, S Mushayabasa - researchgate.net
ABSTRACT Approximately 1.3 billion inhabitants in 94 countries are estimated to be at risk
of chikungunya virus infection. A mechanistic compartmental model based on fractional …