A 3-component system of competition and diffusion
A 3-component system of competition and diffusion
复制标题
竞争和扩散的三元系统
DOI：
10.32917/hmj/1206130546
复制
发表时间：
1986
影响因子：
0.2
通讯作者：
P. Fife
中科院分区：
文献类型：
--
作者：
M. Mimura;P. Fife
摘要：本报告研究了在边界齐次诺依曼条件下，具有小参数 epsilon 的三分量系统的某些两点边值问题的非常数解的存在性。该问题与 3 个竞争和空间分散物种的种群模型中的分离模式分析有关。结果表明，简化问题（epsilon = 0）具有许多表现出空间隔离的非常数解。然而，当 epsilon 非零但很小时，其中只有少数可以作为原始问题解的有效最低阶近似。奇异的扰动结构阐明了哪些属于这一类别。还说明了解的数值计算结果。 （作者）
Abstract : This report studies the existence of non-constant solutions of certain two-point boundary value problems for 3-component systems with a small parameter epsilon, under homogeneous Neumann conditions at the boundaries. This problem is related to the analysis of segregation patterns in population models of 3-competing and spatially dispersing species. It is shown that the reduced problem (epsilon = 0) has many non-constant solutions exhibiting spatial segregation. Only a few of these, however, can serve as valid lowest-order approximations to solutions of the original problem when epsilon is non-zero but small. A singular perturbation construction clarifies which are in this category. The results of numerical computations of solutions are also illustrated. (Author)