Dynamically consistent discrete-time Lotka-Volterra competition models
Lih-Ing W. Roeger Razvan Gelca
Conference Publications 2009, 2009(Special): 650-658 doi: 10.3934/proc.2009.2009.650
Sufficient conditions are given such that the discrete time competition models constructed by applying nonstandard finite difference (NSFD) schemes for the Lotka-Volterra competition models are dynamically consistent. The derived discrete models preserve the positivity of solutions, local stability conditions, boundedness, and the monotonicity of the continuous Lotka-Volterra system. In other words, we are able to construct discrete-time competition models that behave just like the continuous-time Lotka-Volterra competition models.
keywords: dynamical consistency NSFD competition nonstandard finite-difference schemes discrete models Lotka-Volterra

Year of publication

Related Authors

Related Keywords

[Back to Top]