高师理科学刊2015，Vol.35Issue(5)：18-22,5.DOI:10.3969/j.issn.1007-9831.2015.05.005
食饵种群具有Smith增长的Holling-Ⅱ类功能性反应捕食-食饵模型
A predator-prey model of Holling-Ⅱfunctional response for prey species with Smith growth
俞美华1
作者信息
- 1. 东南大学成贤学院基础部,江苏南京,210088
- 折叠
摘要
Abstract
Constructed a predator-prey model with Smith growth of prey species and Holling-Ⅱfunctional response.Studied the stability of the equilibriums,gave the sufficient conditions of globally asymptotically stable for the equilibriums by the stability theory of ordinary differential equation.Then,the existence of a stable periodic solution was proved by ring theory.The ecological significances for the above conclusions were explained and the stability of the equilibriums are illustrated by Matlab.关键词
稳定性/Smith增长/捕食-食饵模型/Holling-Ⅱ类功能性反应Key words
stability/Smith growth/predator-prey model/Holling-Ⅱfunctional response分类
数理科学引用本文复制引用
俞美华..食饵种群具有Smith增长的Holling-Ⅱ类功能性反应捕食-食饵模型[J].高师理科学刊,2015,35(5):18-22,5.
