Saddle-node bifurcation

Statistics

Functional response

Physics

Statistical physics

Mathematical analysis

Artificial intelligence

Nonlinear system

Biological applications of bifurcation theory

Predation

Ecology

Control (management)

Bifurcation

Applied mathematics

Mathematics

Computer science

Control theory (sociology)

Discrete time and continuous time

Quantum mechanics

Biology

Predator

International Journal of Bifurcation and Chaos

In this paper, the one- and two-parameter bifurcations of a discrete-time prey–predator model with a mixed functional response are investigated by computing their critical normal form coefficients. The flip, Neimark–Sacker and strong resonance bifurcations are detected for this model. The critical coefficients identify the scenario associated with each bifurcation. The complex dynamical behavior of the model up to the 16th iteration is investigated.

Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response