Bifurcation analysis and chaos control of a discrete-time prey-predator model with Allee effect
نویسندگان
چکیده
In this study, a discrete-time prey-predator model based on the Allee effect is presented. We examine parametric conditions for local asymptotic stability of fixed points model. Furthermore, with use center manifold theorem and bifurcation theory, we analyze existence directions period-doubling Neimark-Sacker bifurcations. The plots maximum Lyapunov exponents provide indications complexity chaotic behavior. feedback control approach presented to stabilize unstable point. Numerical simulations are performed support theoretical results.
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ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2023
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.1179682