Asymptotic Behavior of Solutions for Forest Kinematic Model
Asymptotic Behavior of Solutions for Forest Kinematic Model
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DOI：
10.1619/fesi.49.427
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
L. Chuan;T. Tsujikawa;A. Yagi
中科院分区：
文献类型：
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作者：
L. Chuan;T. Tsujikawa;A. Yagi
我们继续研究了Kuznetsov等人提出的森林生态系统数学模型。[3]。在本文中，我们将引入三种ω极限集，即ω(U0)⊂L2-ω(U0)⊂w*-ω(U0)，对于我们在前面文献[1]中构造的动力系统U0的每个点U0。利用李雅普诺夫函数，我们将研究这些ω极限集的基本性质。特别地，应证明L2-ω(U0)仅由定常解组成。
We continue a study of the mathematical model of forest ecosystem which has been introduced by Kuznetsov et al. [3]. In this paper, we will introduce three kinds of ω-limit sets, namely, ω(U0) ⊂ L2-ω(U0) ⊂ w*-ω(U0), for each point U0 of the dynamical system which was constructed in our preceding paper [1]. Using a Lyapunov function, we will then investigate basic properties of these ω-limit sets. Especially it shall be shown that L2-ω(U0) consists of stationary solutions alone.