@article{Ruan2022, 
author = {Mianjian Ruan and Chang Li and Xianyi Li},
title = {Codimension two 1:1 strong resonance bifurcation in a discrete predator-prey model with Holling Ⅳ functional response},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {3150-3168},
keywords = {predator-prey model, holling Ⅳ functional response, transcritical bifurcation, 1:1 strong resonance bifurcation, codimension two},
url = {https://www.sciopen.com/article/10.3934/math.2022174},
doi = {10.3934/math.2022174},
abstract = {In this paper we revisit a discrete predator-prey model with Holling Ⅳ functional response. By using the method of semidiscretization, we obtain new discrete version of this predator-prey model. Some new results, besides its stability of all fixed points and the transcritical bifurcation, mainly for codimension two 1:1 strong resonance bifurcation, are derived by using the center manifold theorem and bifurcation theory, showing that this system possesses complicate dynamical properties.}
}