This paper is concerned with the minimal wave speed of traveling wave solutions of a discrete competitive system with Lotka–Volterra type nonlinearity. By constructing upper and lower solutions, we confirm the existe...This paper is concerned with the minimal wave speed of traveling wave solutions of a discrete competitive system with Lotka–Volterra type nonlinearity. By constructing upper and lower solutions, we confirm the existence of traveling wave solutions if the wave speed is the minimal wave speed. Our results complete the earlier conclusions.展开更多
This paper is concerned with the asymptotic speed of spreading of a nonlocal delayed equation, which does not satisfy the local quasimonotonicity. By constructing auxiliary undelayed equations, the asymptotic speed of...This paper is concerned with the asymptotic speed of spreading of a nonlocal delayed equation, which does not satisfy the local quasimonotonicity. By constructing auxiliary undelayed equations, the asymptotic speed of spreading is established. In particular, for such a nonmonotonic equation, the asymptotic speed of spreading is the same as that in the corresponding undelayed equation.展开更多
文摘This paper is concerned with the minimal wave speed of traveling wave solutions of a discrete competitive system with Lotka–Volterra type nonlinearity. By constructing upper and lower solutions, we confirm the existence of traveling wave solutions if the wave speed is the minimal wave speed. Our results complete the earlier conclusions.
文摘This paper is concerned with the asymptotic speed of spreading of a nonlocal delayed equation, which does not satisfy the local quasimonotonicity. By constructing auxiliary undelayed equations, the asymptotic speed of spreading is established. In particular, for such a nonmonotonic equation, the asymptotic speed of spreading is the same as that in the corresponding undelayed equation.