On a new fractional-order logistic model with feedback control
DOI10.1007/s11766-021-3851-1zbMath1499.34271OpenAlexW3200048419MaRDI QIDQ2057400
Publication date: 6 December 2021
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-021-3851-1
Lyapunov functionsfeedback controluniform asymptotic stabilitynonstandard finite difference schemesfractional-order logistic model
Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Stability analysis of Caputo fractional-order nonlinear systems revisited
- Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions
- The Grünwald-Letnikov method for fractional differential equations
- Exact finite difference schemes for three-dimensional linear systems with constant coefficients
- Global existence theory and chaos control of fractional differential equations
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Global asymptotical stability of a logistic model with feedback control
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Global stability of a Leslie-Gower predator-prey model with feedback controls
- Feedback regulation of logistic growth
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Exact solution to fractional logistic equation
- Analysis of a fractional SEIR model with treatment
- Nonstandard finite difference method by nonlocal approximation
- A nonstandard finite-difference scheme for the Lotka--Volterra system
- On the global asymptotic stability of a hepatitis B epidemic model and its solutions by nonstandard numerical schemes
- Uniform asymptotic stability of a logistic model with feedback control of fractional order and nonstandard finite difference schemes
- Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order
- Universal approaches to approximate biological systems with nonstandard finite difference methods
- Complete global stability of a metapopulation model and its dynamically consistent discrete models
- Volterra-type Lyapunov functions for fractional-order epidemic systems
- Positivity and global stability preserving NSFD schemes for a mixing propagation model of computer viruses
- Nonstandard finite difference scheme for a Tacoma Narrows Bridge model
- Degree distribution dynamics for disease spreading with individual awareness
- Global stability of an SI epidemic model with feedback controls
- A nonstandard finite difference scheme for convection-diffusion equations having constant coefficients
- On the fractional-order logistic equation
- Nonstandard finite difference schemes for solving an SIS epidemic model with standard incidence
- Dynamically consistent discrete metapopulation model
- Global stability of disease-free equilibria in a two-group SI model with feedback control
- Feedback control variables to restrain the Babesiosis disease
- Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models
