种群增长的矩阵计算模型

一、基本模型 首先简单地假设种群中雌性和雄性比例相等,在达到生育年龄时都能找到配偶,并且各个年龄的死亡率与性别无关。考虑在离散时刻t=0,1,2,…的种群大小N_t,时间单位可以任选,为方便以年计。在时间区间(i—1,i]出生的个体,在年度(i,i 1]内为0岁(i以前夭亡者不计),在(i 1,i 2]内为1岁,以此类推,这相当于实足年龄。

THE MATRIX CALCULATION MODEL FOR POPULATION GROWTH

Leslie's matrix calculation model is fit for investigating the size of population Nt at a series of discrete times t = 0,1,2, ... This paper dealt with some properties of this model. We studied the dynamic behavoir of variation of Nt, the condition to decrease Nt and the influence of the pre-birth age, -when artificial measures were taken for control. Correspondingly, We derived several approximate formulas. We made a case study and carried out calulations. The results have shown that these formulas are rat...