In this work, an ecological population model with the Allee effect is studied, and the dispersal rate in a one-dimensional patch is estimated. The population is observed to grow in accordance with the logistic-type map with the Allee effect, and the dynamics of the population growth is observed to be controlled by the growth rate and the threshold of the Allee effect. The spread of the species in a one-dimensional patch structure can be described by using the discrete diffusion equation, and the time evolution is continuous. In discrete space and continuous-time dynamics, the expansion velocity of the population is observed to depend strongly on the Allee threshold and the dispersal rate. Without the Allee effect, the invasion velocity increases as a function of the dispersal rate whereas, with the Allee effect, the invasion velocity depends on the dispersal rate, Allee threshold, and growth rate. Three regions are observed in the plane of the dispersal rate and growth rate: namely, the pinning state, the invading state, and the absorbing state.

在这项工作中，研究了具有 Allee 效应的生态种群模型，并估计了一维斑块中的扩散率。观察到人口按照具有 Allee 效应的逻辑型图增长，观察到人口增长的动态受增长率和 Allee 效应阈值的控制。物种在一维斑块结构中的扩散可以用离散扩散方程来描述，时间演化是连续的。在离散空间和连续时间动力学中，观察到种群的扩张速度强烈依赖于 Allee 阈值和扩散率。在没有 Allee 效应的情况下，入侵速度随着扩散速率的增加而增加，而在 Allee 效应的情况下，入侵速度取决于扩散率、Allee 阈值和增长率。在扩散速率和生长速率平面上观察到三个区域：即钉扎态、侵入态和吸收态。