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題 名 | Domain of Attraction of Competitive Systems |
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作 者 | 蔡宜勳; | 書刊名 | 復興學報 |
卷 期 | 1999.12[民88.12] |
頁 次 | 頁409-416 |
分類號 | 310 |
關鍵詞 | 兢爭系統; 共存解; 收斂區域; Taylor展開; 前向微量法; Competitive systems; Coexistence solutions; Domain of attraction; Taylor expansion; Forward difference method; |
語 文 | 英文(English) |
中文摘要 | 本文是研究 Lotka-Volterra-Gauss 競爭模式( Lotka-Volterra-Gauss competition model )中的兩個系統,其一為不具擴散作用的動力系統,另者為具擴散作用 的穩定系統,並討論平衡點的穩定性。對於下列的一維兩競爭物種方程式 U"+r�琥1-a�猴+b�猩/k�琶U=0 邊界條件:U'(0)=U'(1)=0 V"+r�琉1-a�狽+b�狹/k�珠V=0 V'(0)=V'(1)=0 考慮非常數共存解的存在性及其收斂區域。首先對此系統的平衡點做線性化穩定性分析。然 後,再利用 Taylor 展開及前向微量法求得數值解。 |
英文摘要 | In this article our goal is to study the two systems of Lotak-Volterra-Gause Competition Model. One is dynamical system without diffusion, and the other is steady state system with diffusion. We dicuss the stabilities of their equilibriums. We consider existence of non-constant coexistence solutions and domain fo attraction of one dimensional, two competing species equations as follow, U"+r�琥1-a�猴+b�猩/k�琶U=0 boundary conditions: U'(0)=U'(1)=0 V"+r�琉1-a�狽+b�狹/k�珠V=0 V'(0)=V'(1)=0 We first analyze this system by linear stability analysis to find the local stability of equilibriums. Then, we use Taylor expansion and Forward Difference Method to obtain numerical solutions. |
本系統中英文摘要資訊取自各篇刊載內容。