On a linear finite-difference model of a mixed-culture biological system arising in food safety studies
DOI10.1186/1687-1847-2013-357zbMath1347.65137OpenAlexW2037920533WikidataQ59300236 ScholiaQ59300236MaRDI QIDQ324428
Publication date: 14 October 2016
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2013-357
computational modelingbiological filmsfood safety investigationlinear finite-difference schemepositivity and boundedness
Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Cites Work
- Unnamed Item
- Unnamed Item
- A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation
- Dynamical characteristics of bacteria clustering by self-generated attractants
- A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation
- Nonstandard finite difference schemes for a fractional-order Brusselator system
- Discretizations of nonlinear differential equations using explicit nonstandard methods
- A new criterion on existence and uniqueness of stationary distribution for diffusion processes
- Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients
- A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
- A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation
- AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL SIMULATION OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS
- CORRIGENDUM: "AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL MODELING OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS"
- A positivity‐preserving nonstandard finite difference scheme for the damped wave equation
- Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle
- A non-standard finite difference scheme for an epidemic model with vaccination
- A BOUNDED FINITE-DIFFERENCE DISCRETIZATION OF A TWO-DIMENSIONAL DIFFUSION EQUATION WITH LOGISTIC NONLINEAR REACTION
- A new positivity‐preserving nonstandard finite difference scheme for the DWE
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