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Bifurcations and dynamics of a discrete predator–prey model of ricker type

Authors :
M. Y. Hamada
Tamer El-Azab
H. El-Metwally
Source :
Journal of Applied Mathematics and Computing. 69:113-135
Publication Year :
2022
Publisher :
Springer Science and Business Media LLC, 2022.

Abstract

A discrete-time predator–prey model is investigated in this paper. In considered model, the population is assumed to follow the model suggested by Ricker 1954. Existence and stability of equilibria are studied. Numerical simulations reveal that, depending on the parameters, the system has complicated and rich dynamics and can exhibit complex patterns. Also the bifurcation diagrams are presented.

Details

ISSN :
18652085 and 15985865
Volume :
69
Database :
OpenAIRE
Journal :
Journal of Applied Mathematics and Computing
Accession number :
edsair.doi...........128326f7e7296e4bd6bccd855bac6c32
Full Text :
https://doi.org/10.1007/s12190-022-01737-8