Existence of Bistable Waves in a Competitive Recursion System with Ricker Nonlinearity

TL;DR

This paper proves the existence of bistable traveling wave solutions in a competitive recursion system with Ricker nonlinearity, highlighting strong interspecific interactions between two species.

Contribution

It introduces an abstract monotone semiflow framework to establish bistable wave solutions in a competitive system with Ricker nonlinearity, advancing theoretical understanding.

Findings

Bistable traveling waves exist in the system.

Strong interspecific interactions are characterized by these waves.

The framework applies to competitive recursion systems with Ricker nonlinearity.

Abstract

Using an abstract scheme of monotone semiflows, the existence of bistable traveling wave solutions of a competitive recursion system with Ricker nonlinearity is established. The traveling wave solutions formulate the strong inter-specific actions between two competitive species.