Global dynamics of a fractional-order HFMD model incorporating optimal treatment and stochastic stability
From MaRDI portal
Publication:2112867
DOI10.1016/j.chaos.2022.112291zbMath1504.92146OpenAlexW4283172493MaRDI QIDQ2112867
Suvankar Majee, Soovoojeet Jana, Dhiraj Kumar Das, Tapan Kumar Kar
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112291
asymptotic stabilitystochastic stabilitytranscritical bifurcationbasic reproduction numberfractional optimal controltreatment controlfractional-order SEIR model
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Medical epidemiology (92C60) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotonicity of functions and sign changes of their Caputo derivatives
- A latency fractional order model for HIV dynamics
- Threshold dynamics for a HFMD epidemic model with~periodic transmission rate
- Stability analysis of Caputo fractional-order nonlinear systems revisited
- Stability analysis of fractional-order complex-valued neural networks with time delays
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
- The effect of vaccines on backward bifurcation in a fractional order HIV model
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Stability of epidemic model with time delays influenced by stochastic perturbations
- Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods
- Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
- The stability of solutions for a fractional predator-prey system
- Linear control for synchronization of a fractional-order time-delayed chaotic financial system
- Differential equations. Classical to controlled
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamic analysis and optimal control of a fractional order model for hand-foot-mouth disease
- Complex dynamics of a fractional-order SIR system in the context of COVID-19
- A fractional system of delay differential equation with nonsingular kernels in modeling hand-foot-mouth disease
- Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivation
- Modelling and analysis of HFMD with the effects of vaccination, contaminated environments and quarantine in mainland China
- Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system
- Study of a fractional-order epidemic model of childhood diseases
- Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates
- A mathematical model of treatment and vaccination interventions of pneumococcal pneumonia infection dynamics
- Complex dynamics in a stochastic internal HIV model
- On Hopf bifurcation in fractional dynamical systems
- A note on global stability of an SEI epidemic model with acute and chronic stages
- On linear stability of predictor–corrector algorithms for fractional differential equations
- Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
