Global stability and optimal control of a two-patch tuberculosis epidemic model using fractional-order derivatives
From MaRDI portal
Publication:5110329
DOI10.1142/S1793524520500084zbMath1443.92176OpenAlexW3003679528MaRDI QIDQ5110329
Mohsen A. Jafari, Hossein Kheiri
Publication date: 18 May 2020
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524520500084
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15) Global stability of solutions to ordinary differential equations (34D23)
Related Items
Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic, Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematical analysis of a two-patch model of tuberculosis disease with staged progression
- Fractional dynamical system and its linearization theorem
- Modeling the spatial spread of rift valley fever in Egypt
- Mathematical analysis of two-patch model for the dynamical transmission of tuberculosis
- An SIS patch model with variable transmission coefficients
- Global stability of two models with incomplete treatment for tuberculosis
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- An epidemic patchy model with entry-exit screening
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On Mittag-Leffler-type functions in fractional evolution processes
- Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment
- Mathematical analysis of a general two-patch model of tuberculosis disease with lost sight individuals
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Volterra-type Lyapunov functions for fractional-order epidemic systems
- Numerical modeling of fractional-order biological systems
- Stability analysis for nonlinear fractional-order systems based on comparison principle
- A cholera model in a patchy environment with water and human movement
- A model for disease transmission in a patchy environment
- Two-Patch Transmission of Tuberculosis
- A multi-city epidemic model
- Optimal control of a fractional-order model for the HIV/AIDS epidemic
- A multi-species epidemic model with spatial dynamics
