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- Title
NEIMARK-SACKER BIFURCATION AND STABILITY OF A PREY-PREDATOR SYSTEM.
- Authors
GÜMÜS, ÖZLEM A. K.
- Abstract
In this paper, we investigate the stability and bifurcation of a discrete-time preypredator system which is subject to an efficiency of prey conversion into predators and minimum threshold prey consumption required before predators begin to reproduce. It is concluded that the system undergoes Neimark-Sacker bifurcations in a small neighborhood of the unique positive equilibrium which depends on the number of prey-predator. Moreover, the numerical simulations are done to demonstrate the theoretical results.
- Subjects
BIFURCATION theory; DISCRETE-time systems; COMPUTER simulation; DYNAMICAL systems; PROBABILITY theory
- Publication
Miskolc Mathematical Notes, 2020, Vol 21, Issue 2, p873
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2020.3386