MMN-4186
Rich dynamics of a discrete-time prey-predator model
Zohreh Eskandari; R. Khoshsiar Ghaziani; Zakieh Avazzadeh;Abstract
A newly-disclosed non-standard finite difference method has been used to
discretize a prey-predator model to investigate the critical normal form coefficients
of bifurcations for both one-parameter and two-parameter bifurcations. The discretetime
prey-predator model exhibits variety of local bifurcations such as period-doubling,
Neimark-Sacker, and strong resonances. Critical normal form coefficients are determined
to reveal dynamical scenario corresponding to each bifurcation point bifurcation.
We also investigates the complex dynamics of the model numerically using by Matlab
package MatcontM based on numerical continuation technique.
Vol. 24 (2023), No. 2, pp. 763-777
DOI: 10.18514/MMN.2023.4186