Mitiku, Semu (PhD)Alemu, Yoseph2018-07-192023-11-042018-07-192023-11-042014-09http://etd.aau.edu.et/handle/123456789/9476The discrete time predator prey model in two dimension is investigated. Thefixed points are obtained and their stability is analyzed. Prey predator solution and bifurcation diagram are presented for selected range of growth parameter. It is observed that prey population exhibits chaotic dynamics. Numerical simulations are performed.enDfierence EquationsBifurcation AnalysisThesis