On the strictly positive solutions of nonautonomous Kolmogorov competition systems
The existence of strictly positive solutions to \(N\)-species nonautonomous Kolmogorov competition systems is studied. By applying Schauder's fixed point theorem some new sufficient conditions are established. In particular, for the almost-periodic system the existence of strictly positive almost-periodic solutions is obtained. In many special cases these conditions can be easely checked. Some previous results are improved and generalized.
scientific article; zbMATH DE number 1367959