Numerical study for a novel variable-order multiple time delay awareness programs mathematical model

DOI10.1016/j.apnum.2020.07.016zbMath1451.92312OpenAlexW3047637034MaRDI QIDQ2202429

Salma Shatta, Seham Mahyoub Al-Mekhlafi, Nasser Hassan Sweilam, Dumitru Baleanu

Publication date: 18 September 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.07.016

zbMATH Keywords

predictor-corrector methodvariable-order fractional derivativesAtangana-Baleanu derivativesawareness programs mathematical modelsepidemic outbreaks model with multiple delayfifth order Adams-Moulton method

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Numerical methods for ordinary differential equations (65L99) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

Routh-Hurwitz stability and quasiperiodic attractors in a fractional-order model for awareness programs: applications to COVID-19 pandemic ⋮ Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells

Cites Work

• A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
• Optimal control of a tuberculosis model with state and control delays
• Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases
• Differential-difference equations
• Awareness programs control infectious disease -- multiple delay induced mathematical model
• Mathematical epidemiology.
• An SIS infection model incorporating media coverage
• Theory of functional differential equations. 2nd ed
• Editorial: Applications of delay differential equations in biological systems
• New studies for general fractional financial models of awareness and trial advertising decisions
• New aspects of poor nutrition in the life cycle within the fractional calculus
• On fractional SIRC model with \textit{Salmonella} bacterial infection
• Effect of awareness programs on the epidemic outbreaks with time delay
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Variable order and distributed order fractional operators
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Fractional integration and differentiation of variable order
• Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws
• A fractional derivative with two singular kernels and application to a heat conduction problem
• Chaotic behaviour of fractional predator-prey dynamical system
• Comparative study for optimal control nonlinear variable-order fractional tumor model
• Variable order fractional systems
• An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique
• A SIRS epidemic model incorporating media coverage with random perturbation
• A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
• Rhapsody in fractional
• A characteristic difference method for the variable-order fractional advection-diffusion equation
• Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions
• EFFECT OF AWARENESS PROGRAMS IN CONTROLLING THE PREVALENCE OF AN EPIDEMIC WITH TIME DELAY
• On the Stability of Predictor-Corrector Methods for Parabolic Equations with Delay
• Efficient numerical treatments for a fractional optimal control nonlinear Tuberculosis model
• Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators
• Integration and differentiation to a variable fractional order
• The Finite Difference Methods for Fractional Ordinary Differential Equations
• Optimal control for a time delay multi-strain tuberculosis fractional model: a numerical approach
• An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator
• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative
• A novel variable‐order fractional nonlinear Klein Gordon model: A numerical approach
• Fractional differentiation matrices with applications
• The Stability of Predictor-Corrector Methods

This page was built for publication: Numerical study for a novel variable-order multiple time delay awareness programs mathematical model