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Complicate dynamical properties of a discrete slow-fast predator-prey model with ratio-dependent functional response.

Authors :
Li, Xianyi
Dong, Jiange
Source :
Scientific Reports; 11/23/2023, Vol. 13 Issue 1, p1-13, 13p
Publication Year :
2023

Abstract

Using a semidiscretization method, we derive in this paper a discrete slow-fast predator-prey system with ratio-dependent functional response. First of all, a detailed study for the local stability of fixed points of the system is obtained by invoking an important lemma. In addition, by utilizing the center manifold theorem and the bifurcation theory some sufficient conditions are obtained for the transcritical bifurcation and Neimark-Sacker bifurcation of this system to occur. Finally, with the use of Matlab software, numerical simulations are carried out to illustrate the corresponding theoretical results and reveal some new dynamics of the system. Our results clearly demonstrate that the system is very sensitive to its fast time scale parameter variable. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20452322
Volume :
13
Issue :
1
Database :
Complementary Index
Journal :
Scientific Reports
Publication Type :
Academic Journal
Accession number :
173803528
Full Text :
https://doi.org/10.1038/s41598-023-45861-2