| 具分布时滞和扩散影响的捕食-食饵模型的周期解 |
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| 引用本文： | 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. |
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| 作者姓名： | 王长有 |
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| 作者单位： | 重庆邮电大学应用数学研究所,重庆400065 |
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| 基金项目： | 重庆邮电大学青年教师科技基金项目（A2005-14）;四川省中青年带头人学术与技术基金（1200311） |
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| 摘 要： | 利用上、下解方法及比较原理研究了一类带分布时滞和扩散影响的捕食-食饵模型的周期解.证明了在一定条件下这个模型的零平衡态及半平凡周期解是全局渐近稳定的,并获得了这个系统具有一对周期拟解的充分条件且对任意给定的非负初值函数这对周期拟解构成的区间是此系统的一个吸引子.
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| 关 键 词： | 周期解 上、下解 捕食-食饵模型 存在性 稳定性 |
| 文章编号： | 1004-5694（2006）03-0409-04 |
| 收稿时间： | 2005-10-11 |
| 修稿时间： | 2005-12-09 |
Periodic solution of prey predator model with diffusion and distributed delay effects |
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| WANG Chang-you.Periodic solution of prey predator model with diffusion and distributed delay effects[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),2006,18(3):409-412. |
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| Authors: | WANG Chang-you |
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| Institution: | Institute of Applied Mathematics,Chongqing University of Posts and Telecommunications, Chongqing 400065,P.R.China |
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| 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. |
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| Keywords: | periodic solution upper and lower solutions prey-predator model existence stability |
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