A nonstandard Finite Difference Approach Preserving Dynamic Consistency ForPredator–Prey Systems
Keywords:
Predator–prey dynamics; nonstandard finite difference; dynamic consistency; positivity and boundedness; persistence; equilibrium stability; Neimark–Sacker bifurcationAbstract
We develop a nonstandard finite–difference (NSFD) approach for predator–prey systems thatpreserves dynamic consistency with their continuous counterparts. Focusing on models witha Holling type-III functional response, the discrete scheme is constructed so that fundamental qualitative features are retained for any time step
References
Shabbir MS, Din Q, Safeer M, Khan MA, Ahmad K. A dynamically consistent nonstandard finite difference scheme for a predator–prey model. Adv Differ Equ. 2019;2019:381. doi:10.1186/s13662-019-2319-6. SpringerOpen
Hoang MT, Ehrhardt M. A second-order nonstandard finite difference method for a general Rosenzweig–MacArthur predator–prey model. J Comput Appl Math. 2024;444:115752. doi:10.1016/j.cam.2024.115752. ScienceDirect+1
Downloads
Published
2025-09-30
How to Cite
Ali Youssef Musa. (2025). A nonstandard Finite Difference Approach Preserving Dynamic Consistency ForPredator–Prey Systems . Journal of Computational Analysis and Applications (JoCAAA), 34(9), 75–95. Retrieved from https://www.eudoxuspress.com/index.php/pub/article/view/3804
Issue
Section
Articles
