Positive and elementary stable nonstandard numerical methods with applications to predator–prey models
- 1 May 2006
- journal article
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 189 (1-2) , 98-108
Abstract
No abstract availableKeywords
This publication has 13 references indexed in Scilit:
- Analysis and numerical simulation of phytoplankton–nutrient systems with nutrient lossMathematics and Computers in Simulation, 2005
- Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systemsApplied Mathematics Letters, 2005
- On non-standard finite difference models of reaction–diffusion equationsJournal of Computational and Applied Mathematics, 2005
- An Improved Theta-method for Systems of Ordinary Differential EquationsJournal of Difference Equations and Applications, 2003
- A high-order conservative Patankar-type discretisation for stiff systems of production–destruction equationsApplied Numerical Mathematics, 2003
- Nonstandard finite difference method by nonlocal approximationMathematics and Computers in Simulation, 2003
- An unconditionally convergent discretization of the SEIR modelMathematics and Computers in Simulation, 2002
- Contributions to the mathematics of the nonstandard finite difference method and applicationsNumerical Methods for Partial Differential Equations, 2001
- Suppression of numerically induced chaos with nonstandard finite difference schemesJournal of Computational and Applied Mathematics, 1999
- The Functional Response of Predators to Prey Density and its Role in Mimicry and Population RegulationMemoirs of the Entomological Society of Canada, 1965