This paper analyzes the dynamics of a Cournot duopoly model with different strategies. We offer results on existence, stability and local bifurcations of the equilibrium points. The bifurcation diagrams and Lyapunov exponents of the model are presented to show that the model behaves chaotically with the variation in the parameters. The state variables feedback and parameter variation methods are used to control the chaos of the model.
Elsadany, A. (2015). A dynamic Cournot duopoly model with different strategies. Journal of the Egyptian Mathematical Society, 23(1), 56-61. doi: 10.1016/j.joems.2014.01.006
MLA
A.A. Elsadany. "A dynamic Cournot duopoly model with different strategies", Journal of the Egyptian Mathematical Society, 23, 1, 2015, 56-61. doi: 10.1016/j.joems.2014.01.006
HARVARD
Elsadany, A. (2015). 'A dynamic Cournot duopoly model with different strategies', Journal of the Egyptian Mathematical Society, 23(1), pp. 56-61. doi: 10.1016/j.joems.2014.01.006
VANCOUVER
Elsadany, A. A dynamic Cournot duopoly model with different strategies. Journal of the Egyptian Mathematical Society, 2015; 23(1): 56-61. doi: 10.1016/j.joems.2014.01.006