On the \({\omega}\)-limit set dichotomy of cooperating Kolmogorov systems
The authors study cooperative systems of the form \[ x'_i=x_i f(x), \quad x_i\geq 0, \quad i=1,\dots, n. \] They investigate the following property of \(\omega\)-limit sets: if \(x<y\) (in the sense of usual order on the positive orthant), then either \(\omega(x)\leq \omega(y)\) or \(\omega(x)=\omega(y)\subset E\), where \(E\) is the set of equilibria.
scientific article; zbMATH DE number 2021985