Generalized Kolmogorov systems with applications to astrophysics and biology

TL;DR

This paper studies generalized Kolmogorov systems, proves the existence of heteroclinic trajectories, and applies these results to models in astrophysics and biology.

Contribution

It introduces new theoretical results on heteroclinic trajectories in generalized Kolmogorov systems and applies them to astrophysical and biological models.

Findings

Existence of heteroclinic trajectories in generalized Kolmogorov systems

Application of theoretical results to astrophysical models of self-gravitating particles

Application to predator-prey biological systems

Abstract

We consider generalized Kolmogorov system. We prove the existence of heteroclinic trajectory. We apply the results to astrophysical models for self-gravitating particles and predator-prey systems.