Hussien Lafta, A., Kamel Naji, R. (2013). On The Dynamics of Discrete-Time Prey-Predator System with Ratio-Dependent Functional Response. Alustath, 54(1), 157-164.
Alaa Hussien Lafta; Raid Kamel Naji. "On The Dynamics of Discrete-Time Prey-Predator System with Ratio-Dependent Functional Response". Alustath, 54, 1, 2013, 157-164.
Hussien Lafta, A., Kamel Naji, R. (2013). 'On The Dynamics of Discrete-Time Prey-Predator System with Ratio-Dependent Functional Response', Alustath, 54(1), pp. 157-164.
Hussien Lafta, A., Kamel Naji, R. On The Dynamics of Discrete-Time Prey-Predator System with Ratio-Dependent Functional Response. Alustath, 2013; 54(1): 157-164.

On The Dynamics of Discrete-Time Prey-Predator System with Ratio-Dependent Functional Response

Iraqi Journal of Science
Article 1, Volume 54, Issue 1, February 2013, Pages 157-164
Authors
Alaa Hussien Lafta; Raid Kamel Naji
Abstract
In this paper, a discrete- time ratio-dependent prey- predator model is proposed and analyzed. All possible fixed points have been obtained. The local stability conditions for these fixed points have been established. The global stability of the proposed system is investigated numerically. Bifurcation diagrams as a function of growth rate of the prey species are drawn. It is observed that the proposed system has rich dynamics including chaos.
Keywords
Discrete prey; predator system; Ratio; dependent functional; stability; Bifurcation diagrams; Chaos
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