中文摘要：

根据种群的生存、繁殖等规律,以及人为的投放与捕捞等因素,建立了一类基于个体尺度结构的离散种群增长模型。分析了种群正平衡态的存在条件,并给出其表达式;应用本原矩阵和特征值理论探讨了种群的长期演化行为,借助圆盘定理获得了平衡态的稳定性条件。

英文摘要：

Based on the laws of survival and reproduction of populations,and some manmade factors such as juveniles inputting and adults harvesting,this paper establishes a class of size-structured discrete model. We analyze the conditions for the existence of positive equilibrium and derive its analytical expression. The longrun behaviors of the population are described by means of primitive matrices and eigenvalue theory,and stability conditions of the steady state are obtained via Gerschgorin’s disc theorem.