三种群竞争合作非局部扩散时滞系统行波解的存在性  

Existence of Traveling Wave Solutions of Competition-cooperation Nonlocal Diffusive Delayed Systems of Three Species

作　　者：姚美萍[1] 乔鹏芝 王飏[1] YAO Meiping;QIAO Pengzhi;WANG Yang(Scfwul of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2020年第3期473-478,共6页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11501339,11901366);山西省青年科技研究基金(201801D221008);山西省高等学校科技创新项目(2019L0021)。

摘　　要：文章主要研究一类带有时滞的三种群非局部扩散竞争合作系统的行波解问题。首先,通过上下解方法证明了,当c≥c~*时,该系统存在行波解。其次,当c<c~*时,通过反证法证明了该系统不存在行波解。对于复杂的三种群系统,结果表明该类系统仍然存在行波解。This paper is concerned with a class of nonlocal diffusion systems of three species with delays.The existence of the traveling wave solutions of these systems is proved via the method of upper and lower solutions when c≥c~*,however,for c<c~*,the nonexistence of the traveling wave solutions is proved by reduction to absurdity.In fact,the conclusions indicate that the traveling wave solutions exist in complex system of three species.

关 键 词：非局部扩散系统 竞争合作系统 行波解 上下解 

分 类 号：O175[理学—数学]