AN IMPROVED MODEL OF AGE-STRUCTURED POPULATION-DYNAMICS

被引：1
|
作者：
LI, XR
MA, Z
机构：
[1] Department of Mathematics Xi'an Jiaotong University, Xi'an
来源：
MATHEMATICAL AND COMPUTER MODELLING | 1994年 / 20卷 / 12期
关键词：
POPULATION; AGE-STRUCTURE; GESTATION PERIOD; EVOLUTION EQUATION; BOUNDARY CONDITION;
D O I：
10.1016/0895-7177(94)90130-9
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The classical model of age-dependent population dynamics is improved. Instead of the traditional renewal equation, a new approach is developed to describe the reproduction process of the population. The composition of a population is redefined to contain the pre-birth individuals, and the disadvantages of the classical model avoided. Moreover, the improved model turns out to be an initial value problem, which is mathematically more convenient to deal with. Existence and uniqueness results for the nonlinear nonautonomous system of model equations are obtained. It is shown that the classical model and its time delay generalization are two degenerate cases of the improved model.
引用
收藏
页码：143 / 150
页数：8
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