曲阜师范大学学报（自然科学版）2025，Vol.51Issue(4)：57-64,8.DOI:10.3969/j.issn.1001-5337.2025.4.057
带有分数型交叉扩散竞争系统解的存在性与收敛性
Existence and convergence of solutions for competing systems with fractional type cross-diffusion
摘要
Abstract
In this paper,a class of SKT model with fractional type cross-diffusion is studied.Firstly,by using the maximum principle,a link among the most values of the steady-state solutions of the system is made.Then,by introducing a proper discriminant function,the sufficient conditions is obtained such that the system has no coexisting steady-state solution.Furthermore,an application of Lyapunov functional and Sobolev embedding theorem can lead to prove the convergence of the nonnegative solution to steady-state solution in the C1 topological sense.关键词
反应扩散系统/分数型交叉扩散/存在性/收敛性Key words
reaction diffusion system/fractional type cross-diffusion/existence/convergence分类
数理科学引用本文复制引用
朱宁宁..带有分数型交叉扩散竞争系统解的存在性与收敛性[J].曲阜师范大学学报（自然科学版）,2025,51(4):57-64,8.基金项目
山东省自然科学基金(ZR2021QA103). （ZR2021QA103）
