Positive explicit and implicit computational techniques for reaction-diffusion epidemic model of dengue disease dynamics
DOI10.1186/s13662-020-02622-zzbMath1482.92088OpenAlexW3029286769MaRDI QIDQ2078151
Publication date: 25 February 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02622-z
finite difference schemesnumerical simulationsdengue modelstructure preserving methodsdiffusion epidemic system
Epidemiology (92D30) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- A nonstandard numerical scheme of predictor-corrector type for epidemic models
- Threshold conditions for a non-autonomous epidemic system describing the population dynamics of dengue
- Nonstandard numerical methods for a mathematical model for influenza disease
- Numerical modelling of an SIR epidemic model with diffusion
- An unconditionally convergent finite-difference scheme for the \(SIR\) model
- On the existence of solutions of a three steps crisis integro-differential equation
- New aspects of poor nutrition in the life cycle within the fractional calculus
- A reliable numerical analysis for stochastic dengue epidemic model with incubation period of virus
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- On the new fractional hybrid boundary value problems with three-point integral hybrid conditions
- An unconditionally positivity preserving scheme for advection-diffusion reaction equations
- Dengue fever: Mathematical modelling and computer simulation
- Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences
- A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion
- Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations
- An unconditionally convergent discretizaton of the SEIR model
This page was built for publication: Positive explicit and implicit computational techniques for reaction-diffusion epidemic model of dengue disease dynamics