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三种群捕食-被捕食模型中具时滞的抛物系统 被引量:16

Time Delayed Parabolic System in the Three Species Predator-Prey Model
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摘要 本文研究三种群食物链,其中第三种群是第二种群的捕食者,第二种群是第一种群的捕食者。我们用上下解方法研究具时滞的耦合半线性抛物方程组的动力学行为,给出了解的渐近性质。 In this paper, the three-species food chain is discussed, in which the third species is the predator of the second one and the second species is the predator of the first one. The dynamics of coupled systems of semilinear parabolic equations with time delays are investigated by using the method of upper and lower solutions, and the asymptotic behavior of the solution is given.
作者 林支桂
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2004年第3期559-568,共10页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金(10171088) 教育部出国留学基金
关键词 反应扩散系统 时滞 上下解 Reaction diffusion system Time delay Upper and lower solutions
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