Asymptotic expression of the period of the Lotka-Volterra system

被引：2

作者：

Oshime, Y ^{[1
]}

机构：

[1] Doshisha Univ, Fac Engn, Kyotanabe 6100321, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2003年 / 20卷 / 03期

关键词：

first integral; termwise integration of infinite series;

D O I：

10.1007/BF03167427

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the classical prey-predator system of Lotka-Volterra, the period of each solution depends on the value of the first integral, which is sometimes called energy. The period is to be asymptotically expressed with the energy when it is very large (Theorem 13 in 3). In addition, the time average of u(m)v(n) (u, v: the unknowns of the Lotka-Volterra system) will be estimated in 4.

引用

页码：353 / 378

页数：26