积分差分先锋–顶级竞争系统的传播速度和行波解

Spreading Speeds and Traveling Waves for the Integrodifference Pioneer-Climax Competition System

摘要: 针对先锋–顶级竞争系统的时空传播动力学问题，本文利用积分差分方程研究该模型的入侵动力学行为，证明了空间齐次系统的边界平衡点和正平衡点的存在性和稳定性，并确定了入侵传播速度和行波解的存在性，以及传播速度与最小波速的一致性。

Abstract: This paper concerns the spatiotemporal dynamics of pioneer-climax competition systems, where the integrodifference equations are used to study the invasion propagation behavior of the models. The existence and stability of the boundary equilibrium points and the positive equilibrium point of the spatially homogeneous system are proven. Furthermore, the existence of invasion propagation speed and traveling wave solutions is determined, and it is demonstrated that the propagation speed is consistent with the minimal wave speed.