Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System

TL;DR

This paper investigates how cooperation between species in a coupled Lotka-Volterra system can accelerate their asymptotic spreading speeds, providing estimates and insights into the role of nonlinear interactions.

Contribution

It introduces a method to estimate asymptotic spreading speeds in cooperative systems and highlights how inter-species cooperation can significantly enhance spreading rates.

Findings

Cooperation can fasten the spreading speed of species.

Asymptotic speeds are estimated using nonautonomous equations theory.

The results demonstrate the impact of coupled nonlinearities on spreading dynamics.

Abstract

This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system are estimated. Our results imply that the asymptotic spreading of one species can be significantly fastened by introducing a mutual species, which indicates the role of cooperation described by the coupled nonlinearities.