跨组生长与离散尺度下的种群模型的演化行为

The Evolution of a Discrete Size-structured Population Model with Harvest and Group-crossing Growth

该文以尺度作为个体状态变量,以个体密度表征种群状态,在考虑捕捞和跨组生长等条件下建立离散尺度种群结构模型。运用矩阵理论研究种群的长期行为,发现种群要么趋于平衡,要么以指数形式增长或消亡,拓展了Leslie的经典结论。

Based on body size and distribution density of individuals, a discrete model is formulated, which incorporates the harvest and group-crossing growth. In this paper, applying the theory of primitive matrixes, it derives the long-term behaviors of the population ： approaching to steady state or changing in exponential form. the result extends the classic Leslie＇s work.