Global Dynamics of a Cooperative Discrete System in the Plane
Date of Original Version
In this paper, we consider the cooperative system (Equation Presented), where all parameters a,b,c,d are positive numbers and the initial conditions x0,y0 are nonnegative numbers. We describe the global dynamics of this system in a number of cases. An interesting feature of this system is that it exhibits a coexistence of locally stable equilibrium and locally stable periodic solutions as well as the Allee effect.
International Journal of Bifurcation and Chaos
Bilgin, Arzu, Ann Brett, Mustafa R. Kulenović, and Esmir Pilav. "Global Dynamics of a Cooperative Discrete System in the Plane." International Journal of Bifurcation and Chaos 28, 7 (2018). doi:10.1142/S0218127418300227.