An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control DOI Creative Commons
Tahir Khan, Fathalla A. Rihan, Qasem M. Al‐Mdallal

et al.

Journal of Biological Dynamics, Journal Year: 2023, Volume and Issue: 18(1)

Published: Dec. 29, 2023

Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering dynamical behaviour symptomatic individuals, this study examines temporal optimal control Coronavirus disease propagation using an epidemiological model. Biologically mathematically, well-posed epidemic problem is examined, as well threshold quantity with parameter sensitivity. Model parameters are quantified their relative impact on evaluated. Additionally, steady states investigated to determine model's stability bifurcation. Using sensitivity, we then introduce strategies for elimination disease. real data, numerical simulations model validation performed support theoretical findings show effects strategies.

Language: Английский

HIV/AIDS and HBV co-infection with optimal control strategies and cost-effectiveness analyses using integer order model DOI Creative Commons
Shewafera Wondimagegnhu Teklu,

Abushet Hayalu Workie

Scientific Reports, Journal Year: 2025, Volume and Issue: 15(1)

Published: Feb. 1, 2025

Hepatitis B virus (HBV) and HIV/AIDS co-infection is a common infectious disease that has been spreading through different nations in the world. The main objective of study to minimize number HBV HIV co-infected individuals community cost incurred effort applied towards protection treatment control strategies. In this study, novel model formulated analyzed investigate effects strategies on dynamics community. qualitative analyses we have computed all models disease-free equilibrium points, effective reproduction numbers unique endemic proved two sub-models points are locally as well globally asymptotically stable whenever their associated less than one. our understanding no one with optimal cost-effective so problem carried out analysis by implementing Pontryagin's minimum principle. Numerical simulations various combinations efforts implemented then impacts treatments tackle diseases Finally, also cost-effectiveness for From findings numerical observed proposed controlling simultaneously fundamental impact but strategy 4 (implemented controls simultaneously) most compared other recommend health stake holders policy makers implement

Language: Английский

Citations

1
Non-integer Time Fractional-Order Mathematical Model of the COVID-19 Pandemic Impacts on the Societal and Economic Aspects of Nigeria DOI
Morufu Oyedunsi Olayiwola, Akeem Olarewaju Yunus

International Journal of Applied and Computational Mathematics, Journal Year: 2024, Volume and Issue: 10(2)

Published: March 31, 2024

Language: Английский

Citations

6
Modeling and mathematical analysis of fractional order Eye infection (conjunctivitis) virus model with treatment impact: Prelicence and dynamical transmission DOI Creative Commons
Kottakkaran Sooppy Nisar, Aqeel Ahmad, Muhammad Farman

et al.

Alexandria Engineering Journal, Journal Year: 2024, Volume and Issue: 107, P. 33 - 46

Published: July 16, 2024

Language: Английский

Citations

5
A three-dimensional discrete fractional-order HIV-1 model related to cancer cells, dynamical analysis and chaos control DOI
Haneche Nabil, Tayeb Hamaizia

Mathematical Modelling and Numerical Simulation with Applications, Journal Year: 2024, Volume and Issue: 4(3), P. 256 - 279

Published: Sept. 30, 2024

In this paper, we study a three-dimensional discrete-time model to describe the behavior of cancer cells in presence healthy and HIV-infected cells. Based on Caputo-like difference operator, construct fractional-order biological system. This study's significance lies developing new approach presenting dynamical Since qualitative analysis related existence, uniqueness, stability is almost same as can be found numerous existing papers, comparing other research, constructing discrete system using Caputo operator particularly important. Using powerful tools nonlinear theory such phase plots, bifurcation diagrams, Lyapunov exponent spectrum, 0-1 test, establish that proposed exhibit different states, including stable, periodic, chaotic behaviors. Here, route leading chaos period-doubling bifurcation. Furthermore, level quantified $C_{0}$ complexity approximate entropy algorithms. The stabilization or suppression motions presented, where an efficient controller designed based systems. Numerical simulations are provided validate theoretical results derived research paper.

Language: Английский

Citations

5
Fractional-order PID feedback synthesis controller including some external influences on insulin and glucose monitoring DOI Creative Commons
Kottakkaran Sooppy Nisar, Muhammad Farman,

Khadija Jamil

et al.

Alexandria Engineering Journal, Journal Year: 2024, Volume and Issue: 113, P. 60 - 73

Published: Nov. 16, 2024

Language: Английский

Citations

4
Fractional order mathematical model of Ebola virus under Atangana–Baleanu–Caputo operator DOI Creative Commons
Pooja Yadav, Shah Jahan, Kottakkaran Sooppy Nisar

et al.

Results in Control and Optimization, Journal Year: 2023, Volume and Issue: 13, P. 100332 - 100332

Published: Nov. 7, 2023

The aim of this paper is to analyze a fractional model the Ebola virus. This study important because it contributes our understanding virus transmission dynamics using notion non-local differential operators. We apply recently implemented Atangana-Baleanu-Caputo (ABC) derivative with Mittag-Leffler kernel closely. Picard-Lindelof approach used do comprehensive existence and uniqueness model's solutions. approximate solutions order were obtained numerical technique ABC operator, combination fundamental theorem calculus two-step Lagrange polynomial interpolation. innovative may offer new insights into that not previously explored. Finally, simulations illustrate how control parameters impact specific compartments within model. geometrical representation gives significant information about complexity reliable simulate each compartment at various orders compare them integer-order simulations, highlighting effectiveness modern derivatives. analysis underscores enhanced accuracy non-integer derivatives in capturing dynamics.

Language: Английский

Citations

10
Analysis of the fractional SEIR epidemic model with Caputo derivative via resolvents operators and numerical scheme DOI Open Access
Ndolane Sene

Discrete and Continuous Dynamical Systems - S, Journal Year: 2024, Volume and Issue: 0(0), P. 0 - 0

Published: Jan. 1, 2024

Language: Английский

Citations

1
A fractional derivative model of the dynamic of dengue transmission based on seasonal factors in Thailand DOI

Jiraporn Lamwong,

Puntani Pongsumpun

Journal of Computational and Applied Mathematics, Journal Year: 2024, Volume and Issue: 457, P. 116256 - 116256

Published: Sept. 7, 2024

Language: Английский

Citations

1
Kalman filter based on a fractional discrete-time stochastic augmented CoVid-19 model DOI Creative Commons
Mohammad Ghani,

Dwi Rantini,

Maryamah Maryamah

et al.

Journal of Biosafety and Biosecurity, Journal Year: 2024, Volume and Issue: 6(2), P. 76 - 98

Published: May 14, 2024

In this paper, we study the dynamics of CoVid-19 outbreak in Semarang, Indonesia, using a fractional model. We first determine effects isolation rate ∊ and infection β on reproduction number R0 infected V. find that is directly proportional to inversely ∊. For V, effect physical distancing not as significant changing As increases, V decreases, susceptible individuals quarantined decreases sharply, recovered decreases. Moreover, vaccination also considered. The combination distancing, isolation, has impact reducing individuals. Analysis dynamical systems allows us understand characteristics our model, such its boundedness non-negativity, existence equilibrium points, uniqueness solutions, local global stability. To validate introduce extended Kalman filter (FracEKF) prediction method compare results against reported data. FracEKF modified version basic with time-fractional memory effect. illustrate accuracy model terms root mean square error (RMSE), normalized (NRMSE), absolute percentage (MAPE) for each fractional-order. Varying reproduces trends observed data individuals, i.e., when higher fractional-order accuracy. Furthermore, values process noise Qf give smaller errors, whereas observation Rf produce errors. α are RMSE,NRMSE, MAPE, MAPE.

Language: Английский

Citations

0
An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control DOI Creative Commons
Tahir Khan, Fathalla A. Rihan, Qasem M. Al‐Mdallal

et al.

Journal of Biological Dynamics, Journal Year: 2023, Volume and Issue: 18(1)

Published: Dec. 29, 2023

Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering dynamical behaviour symptomatic individuals, this study examines temporal optimal control Coronavirus disease propagation using an epidemiological model. Biologically mathematically, well-posed epidemic problem is examined, as well threshold quantity with parameter sensitivity. Model parameters are quantified their relative impact on evaluated. Additionally, steady states investigated to determine model's stability bifurcation. Using sensitivity, we then introduce strategies for elimination disease. real data, numerical simulations model validation performed support theoretical findings show effects strategies.

Language: Английский

Citations

0