多种群生存竞争的反应扩散系统

摘要

考虑一类多种群生存竞争的非线性奇摄动系统.在适当的条件下,通过构造系统的外部解、边界层校正项和初始层校正项,得到了解的渐近展开式.利用比较原理,讨论该问题解的存在性及其渐近展开式的一致有效性.%The author considered a class of struggle of existence in multigroup of nonlinear singular perturbation systems.Under appropriate conditions,the author constructed the external solution of the system,boundary layer correction terms and initial layer correction terms,and obtained the asymptotic expansion of the solution.The author discussed the existence of solution of the problem and the uniform validity of its asymptotic expansion.