On the Structure of the Set of Stationary Solutions for a Lotka-Volterra Competition Model with Diffusion

Yukio Kan-on

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On the Structure of the Set of Stationary Solutions for a Lotka-Volterra Competition Model with Diffusion

机译：具有扩散的Lotka-Volterra竞争模型的平稳解集的结构

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摘要

In this paper, we study the structure of the set of stationary solutions for a Lokta-Volterra competition model with diffusion. To do this, the comparison principle and the bifurcation theory are employed.

机译：在本文中，我们研究了带有扩散的Lokta-Volterra竞争模型的平稳解集的结构。为此，采用了比较原理和分叉理论。

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《Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis》 |2001年第2期|共11页
作者
Yukio Kan-on;
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正文语种 eng
中图分类数学;
关键词
Lotka-Volterra model; comparison principle; bifurcation theory;

机译：Lotka-Volterra模型;比较原理;分叉理论;

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专利

1. On the Structure of the Set of Stationary Solutions for a Lotka-Volterra Competition Model with Diffusion [J] . Yukio Kan-on Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2001,第2期

机译：具有扩散的Lotka-Volterra竞争模型的平稳解集的结构
2. Bifurcation structure of stationary solutions of a Lotka-Volterra competition model with diffusion [J] . Kan-On Y. SIAM Journal on Mathematical Analysis . 1998,第2期

机译：具有扩散的Lotka-Volterra竞争模型的平稳解的分歧结构
3. INSTABILITY OF STATIONARY SOLUTIONS FOR A LOTKA-VOLTERRA COMPETITION MODEL WITH DIFFUSION [J] . Kanon Y. Journal of Mathematical Analysis and Applications . 1997,第1期

机译：具扩散的LOTKA-VOLTERRA竞争模型的平稳解的不稳定性
4. STRUCTURE ON THE SET OF RADIALLY SYMMETRIC POSITIVE STATIONARY SOLUTIONS FOR A COMPETITION-DIFFUSION SYSTEM [C] . Yukio Kan-On AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：竞争扩散系统径向对称柱固定解决方案集的结构
5. The effects of diffusion and spatial variation in the Lotka-Volterra competition-diffusion system. [D] . He, Xiaoqing. 2013

机译：Lotka-Volterra竞争扩散系统中扩散和空间变化的影响。
6. Existence Uniqueness and Asymptotic Stability of Time Periodic Traveling Waves for a Periodic Lotka-Volterra Competition System with Diffusion [O] . Guangyu Zhao, Shigui Ruan -1

机译：随着时间的连续的Lotka-Volterra竞争系统存在唯一性和渐近稳定性的存在唯一性和渐近稳定性
7. Bifurcation structure of stationary solutions of a Lotka-Volterra competition model with diffusion (Mathematical models and dynamics of functional equations) [O] . Kan-on Yukio 2004

机译：具扩散的Lotka-Volterra竞争模型的平稳解的分支结构（数学模型和泛函的动力学）

On the Structure of the Set of Stationary Solutions for a Lotka-Volterra Competition Model with Diffusion

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