On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems

Zhanyuan Hou

For a $C^1$ map $T$ from $C=[0,+\infty {)}^N$ to $C$ of the form $T_i(x)=x_i{f}_i(x)$, the dynamical system $x(n)=T^n(x)$ as a population model is competitive if $\frac{\partial f_…