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Z. Naturforsch. 67a, 57
(2012)
doi:10.5560/ZNA.2011-0051
Dynamic Properties of the Predator–Prey Discontinuous Dynamical System
1 Faculty of Science, Alexandria University, Alexandria, Egypt
2 Faculty of Science, Benha University, Benha 13518, Egypt
Received June 17, 2011 / revised September 15, 2011
Reprint requests to: M. E. N.; E-mail:
moh_nasr_2000@yahoo.com
In this work, we study the dynamic properties (equilibrium points, local and global stability, chaos and bifurcation) of the predator–prey discontinuous dynamical system. The existence and uniqueness of uniformly Lyapunov stable solution will be proved.
Key words: Discontinuous Dynamical Systems; Predator–Prey Discontinuous Dynamical System; Existence and Uniqueness; Uniform and Local Stability; Equilibrium Points; Chaos and Bifurcations.