Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2012-01-02
Biology
Quantitative Biology
Populations and Evolution
12 pages, 4 figures
Scientific paper
One of the more interesting themes of the mathematical ecology is the description of the mutualistic interaction between two interacting species. Based on continuous-time model developed by Holland and DeAngelis 2009 for consumer-resource mutualism description, this work deals with the application of the Mickens Non Standard Finite Difference method to transform the continuous-time scheme into a discrete-time one. It has been proved that the Mickens scheme is dynamically consistent with the original one regardless of the step-sizes used in numerical simulations, in opposition of the forward Euler method that shows numerical instabilities when the step size overcomes a critical value.
No associations
LandOfFree
Non Standard Finite Difference scheme for Mutualistic Interaction Description does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non Standard Finite Difference scheme for Mutualistic Interaction Description, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non Standard Finite Difference scheme for Mutualistic Interaction Description will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-183235