ArticleJournal of advanced research2019
Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains.
Article in Journal of advanced research, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Article
- Modeling and analysis for the transmission dynamics of cotton leaf curl virus using fractional order derivatives.Heliyon · 2023Article
- Studying of COVID-19 fractional model: Stability analysis.Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters · 2023Article
- Modeling and analysis of monkeypox disease using fractional derivatives.Results in engineering · 2023Article
- Numerical treatment on the new fractional-order SIDARTHE COVID-19 pandemic differential model via neural networks.European physical journal plus · 2022Article
- A noninteger order SEITR dynamical model for TB.Advances in continuous and discrete models · 2022Article
- Set-Valued Control to COVID-19 Spread with Treatment and Limitation of Vaccination Resources.Iranian journal of science and technology. Transaction A, Science · 2022Article
- Implementation and acceleration of optimal control for systems biology.Journal of the Royal Society, Interface · 2021Review
- Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function.Advances in difference equations · 2021Article
- A report on COVID-19 epidemic in Pakistan using SEIR fractional model.Scientific reports · 2020Article
- Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic.Chaos, solitons, and fractals · 2020Article
- Nonstandard finite difference method for solving complex-order fractional Burgers' equations.Journal of advanced research · 2020Review
- A study of the nonlinear dynamics of human behavior and its digital hardware implementation.Journal of advanced research · 2020Review
- On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach.Advances in difference equations · 2020Article
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3 authors.
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Abstract
The objective of this paper is to study the optimal control problem for the fractional tuberculosis (TB) infection model including the impact of diabetes and resistant strains. The governed model consists of 14 fractional-order (FO) equations. Four control variables are presented to minimize the cost of interventions. The fractional derivative is defined in the Atangana-Baleanu-Caputo (ABC) sense. New numerical schemes for simulating a FO optimal system with Mittag-Leffler kernels are presented. These schemes are based on the fundamental theorem of fractional calculus and Lagrange polynomial interpolation. We introduce a simple modification of the step size in the two-step Lagrange polynomial interpolation to obtain stability in a larger region. Moreover, necessary and sufficient conditions for the control problem are considered. Some numerical simulations are given to validate the theoretical results.
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