On the stable tail limit of traveling wave for a predator-prey system with nonlocal dispersal

We study traveling waves of a predator-prey system with nonlocal dispersal. It is known that there are traveling waves connecting the predator-free state to a nontrivial positive state. Also, it is known that the nontrivial state is the coexistence state if the wave profile converges at the stable tail. However, the question of convergence is left open in Ducrot et al. (2019). In this paper, we provide a proof of this open question of convergence. (c) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates traveling waves in a predator-prey system with nonlocal dispersal. It provides a proof for the open question of convergence left unanswered in previous research.