Asymptotic spreading fastened by inter-specific coupled nonlinearities: A cooperative system

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.

► The nonlinearities are very important to describe the asymptotic spreading of a coupled system.
► Different indices are needed to formulate the asymptotic spreading of a coupled system.
► The cooperation contributes to the evolution of individuals in population communities.