重庆邮电学院学报（自然科学版）2006，Vol.18Issue(3)：409-412,4.
具分布时滞和扩散影响的捕食-食饵模型的周期解
Periodic solution of prey predator model with diffusion and distributed delay effects
摘要
Abstract
In this paper, the existence and stability of periodic solution in prey predator model with diffusion and distributed delay effects are investigated by using the method of upper and lower solutions and comparison principle. It is shown that under some appropriate conditions the trivial solution and semi-trivial periodic solution of the models are globally asymptotically stable, the systems have a pair of periodic quasi-solutions and the sector between the quasi-solutions is an attractor of the models with respect to every nonnegative initial function.关键词
周期解/上、下解/捕食-食饵模型/存在性/稳定性Key words
periodic solution/upper and lower solutions/prey-predator model/existence/stability分类
数理科学引用本文复制引用
王长有..具分布时滞和扩散影响的捕食-食饵模型的周期解[J].重庆邮电学院学报（自然科学版）,2006,18(3):409-412,4.基金项目
重庆邮电大学青年教师科技基金项目(A2005-14) （A2005-14）
四川省中青年带头人学术与技术基金(1200311)Supported by the Youth Teacher Science and Technology Foundation of Chongqing University of Posts and Telecommunications (A2005-14) and the Academic and Technology Mainstay of Middle-age and Youth Foundation of Sichuan Province (1200311). （1200311）
