西北师范大学学报（自然科学版）2001，Vol.37Issue(2)：28-33,6.
具扩散的捕食与被捕食Lotka-Volterra模型研究
Study on a Lotka-Volterra model of diffuse predator-prey
欧伯群 1秦发金2
作者信息
- 1. 钦州高等师范专科学校 数学系
- 2. 柳州高等师范专科学校 数学系
- 折叠
摘要
Abstract
A class of Lotka-Volterra model of diffuse predat or-prey is analysed,which has the following features:if there is a positive bal ance point in this system,all its positive balance points are bounded and st rongly persistence;if the model has a small diffuse rate,its positive balance po int will fluctuate steadily,but when the diffuse rate increases to a certain deg ree and keeps changing in a certain open interval,the positive balance point will fluctuate unsteadily and branch out one periodic solution within a sm all amplitude;if the diffuse rate keeps increasing and goes beyond the certain d egree,the positive balance point will fluctuate in a steady rate again.关键词
Lotka-Volterra模型/扩散率/稳定/平衡点/强持续生存分类
数理科学引用本文复制引用
欧伯群,秦发金..具扩散的捕食与被捕食Lotka-Volterra模型研究[J].西北师范大学学报（自然科学版）,2001,37(2):28-33,6.
