Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response

Authors

  • Jaza Omer Muhammed Department of Mathematics-College of Science-University of Sulaimani, Sulaymaniyah-Iraq
  • Kawa Ahmed Hassan   Department of Mathematics-College of Science-University of Sulaimani, Sulaymaniyah-Iraq

DOI:

https://doi.org/10.25130/tjps.v28i5.1588

Keywords:

discrete time prey-predator system, Crowly- Martin functional response, Fixed points

Abstract

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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Published

2023-10-25

How to Cite

Muhammed, J. O., & KawaAhmedHassan . (2023). Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response . Tikrit Journal of Pure Science, 28(5), 129–146. https://doi.org/10.25130/tjps.v28i5.1588

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