Effect of the awareness parameter on a fractional-order tuberculosis model
- 1 January 2022
- conference paper
- conference paper
- Published by AIP Publishing in AIP Conference Proceedings
- Vol. 2483 (1), 070006
- https://doi.org/10.1063/5.0114888
Abstract
Tuberculosis (TB) is an infectious disease with a high death rate compared to many infectious diseases. Therefore, many prominent studies have been done on the mathematical modeling and analysis of TB. In this study, an illustrative mathematical model is developed by considering the awareness parameter. In this context, two different treatment strategies that is applied as protective treatment and main treatment that is considered on the infected individuals are taken into account. In the provided model, a six-dimensional compartment system of fractional-order is constructed that includes the susceptible, latent, infected, and recovered population, as well as including the mentioned two treatment strategies. Also positivity and biologically feasible region of the model are provided. In the numerical simulations, Adams–Bashforth which is a well-known numerical scheme is applied to obtain the results.Keywords
This publication has 20 references indexed in Scilit:
- Novel comparison of numerical and analytical methods for fractional Burger–Fisher equationDiscrete & Continuous Dynamical Systems - S, 2021
- System response of an alcoholism model under the effect of immigration via non-singular kernel derivativeDiscrete & Continuous Dynamical Systems - S, 2021
- Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernelAdvances in Difference Equations, 2020
- Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting RateFractal and Fractional, 2020
- Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal controlChaos, Solitons, and Fractals, 2020
- Analysis and numerical computations of the fractional regularized long‐wave equation with damping termMathematical Methods in the Applied Sciences, 2020
- Modeling tuberculosis dynamics with the presence of hyper-susceptible individuals for Ho Chi Minh City from 1996 to 2015BMC Infectious Diseases, 2018
- Novel solution methods for initial boundary value problems of fractional order with conformable differentiationAn International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2017
- Global burden of drug-resistant tuberculosis in children: a mathematical modelling studyThe Lancet Infectious Diseases, 2016
- Global existence theory and chaos control of fractional differential equationsJournal of Mathematical Analysis and Applications, 2007