Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response
DOI:
https://doi.org/10.25130/tjps.v28i5.1588Keywords:
discrete time prey-predator system, Crowly- Martin functional response, Fixed pointsAbstract
In this paper, a discrete time prey-predator system with Crowly- Martin functional response was studied. The fixed points of the model are obtained, and their stability is analyzed. Further existence of bifurcation analysis at each fixed points and Hopf bifurcation are demonstrated. Numerical simulation show that the model perhaps have more complex dynamical behaviors, such as the period-5,10,20 and 35 orbits, including the periodic doubling bifurcation in period-2,4,8 and 16 orbits and chaotic set.
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