Qualitative behavior of a two‐dimensional discrete‐time prey–predator model. Issue 6 (10th October 2021)

• Record Type: Journal Article
• Authors: Berkal, Messaoud; Navarro, Juan F.
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 6(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-10-10
• Subjects: discrete‐time systems -- Lotka–Volterra systems -- Neimark–Sacker bifurcation -- prey–predator; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1193
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract: In this article, we discuss the qualitative behavior of a two‐dimensional discrete‐time prey–predator model. This system is the result of the application of a nonstandard difference scheme to a system of differential equations for a prey–predator model including intraspecific competition of prey population. In particular, we evaluate the fixed points of the system and study their local asymptotic stability. We also prove the existence of a Neimark–Sacker bifurcation.