On Dynamics of Generalized Competitive and Cooperative Systems
On Dynamics of Generalized Competitive and Cooperative Systems
In this paper, we are concerned with $n$-dimensional generalized competitive or cooperative systems of ordinary differential equations. A result is established to show that the flow generated by a generalized cooperative and irreducible system is strongly monotone. Also, it is shown that an analogue of the Poincarè-Bendixon theorem holds for …