Discrete-time Holling type II models with Allee and refuge effects
Authors: Unal Ufuktepe, Burcin Kulahcioglu
Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990
Volume: 2019 · Pages: 136 - 148
Published Online: 22 Dec 2019
Abstract: The discrete-time Holling type II prey-predator models with the refuge and Allee effects are formulated and studied. The existence of fixed points and their stabilities are investigated for both hyperbolic and non-hyperbolic cases. Numerical simulations are conducted to demonstrate the theoretical results.
Keywords: Holling type II, prey-predator, refuge effect