CAJ | 학술논문

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。
근거충군적생존、번식등규률，이급인위적투방여포로등인소，건립료일류기우개체척도결구적리산충군증장모형。분석료충군정평형태적존재조건，병급출기표체식；응용본원구진화특정치이론탐토료충군적장기연화행위，차조원반정리획득료평형태적은정성조건。
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 long-run 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 .