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| 一类含时滞和扩散的Prey- Predator系统波前解的存在性 |
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| 引用本文： | 徐天华 .一类含时滞和扩散的Prey- Predator系统波前解的存在性 [J].重庆师范大学学报(自然科学版),2012(4):57-62. |
| 作者姓名： | 徐天华 |
| 作者单位： | 四川民族学院数学系 |
| 基金项目： | 四川省教育厅科研基金(No.10ZC024) |
| 摘 要： | 反应扩散方程的行波解可以很好地表现自然界中的振荡现象和扰动以有限速度传播的现象,是非线性偏微分方程的一个重要研究领域。本文研究了一类含时滞和扩散的Prey-Predator系统的行波解。通过构造系统的上下解,利用波前解的存在性理论,得到当时滞τ1和τ4较小时,该系统波前解存在。 |
| 关 键 词： | 时滞 扩散 上下解 Prey-Predator 波前解 |
Existence of Wave Front Solution of the Prey Predator System with Diffusion and Delays |
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| XU Tian-hua.Existence of Wave Front Solution of the Prey Predator System with Diffusion and Delays [J].Journal of Chongqing Normal University:Natural Science Edition,2012(4):57-62. |
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| Authors: | XU Tian-hua |
| Institution: | XU Tian-hua(Dept.of Mathematics,Sichuan University for Nationalities,Kangding Sichuan 626001,China) |
| Abstract: | Wave front solutions of reaction-diffusion equations can be a good performance of the phenomenon and the nature of the shock speed disturbances with limited spread.It is important area of research of nonlinear partial differential equations.A Prey-Predator system with diffusion and delays was investigated.It is shown that the existence of wave front solutions of this system when the delays τ1 and τ4 are small by constructing a pair of upper and lower solution and using the existence theory of traveling wave solution. |
| Keywords: | delays diffusion upper and lower solution Prey-Predator system wave front solution |
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