Monotonicity, asymptotic behaviors and uniqueness of traveling waves to a nonlocal dispersal equation modeling an age-structured population

摘要

AbstractWe considered a population model with nonlocal dispersal and age structure. Under monostable assumptions, we obtained the exact asymptotic behaviors of the wave profiles at both wave tailsξ=±∞(ξ=x+ct). The monotonicity for all wave profiles is also derived. Furthermore, we show that the wave profile with a given wave speedcis unique up to a translation. Our results generalize the known results in the literature.]]>