Dynamics for a reaction–diffusion–advection mutualist model with different free boundaries

Abstract

This paper is concerned with the dynamics of a reaction–diffusion–advection mutualist model with four different free boundaries in one‐dimensional space. These free boundaries are used to describe the spreading of two mutualistic species along two sides in the line, and two ones in the same direction may intersect each other as time evolves. The existence, uniqueness, and long time behaviors of global solutions are established. The sharp criteria for spreading and vanishing are provided.