关键词：entire solution traveling wave nonlocal 

摘要：This paper mainly focuses on the entire solutions of a nonlocal dispersal equation with asymmetric kernel and bistable nonlinearity. Compared with symmetric case, the asymmetry of the dispersal kernel function makes more diverse types of entire solutions since it can affect the sign of the wave speeds and the symmetry of the corresponding nonincreasing and nondecreasing traveling waves.We divide the bistable case into two monostable cases by restricting the range of the variable, and obtain some merging-front entire solutions which behave as the coupling of monostable and bistable waves. Before this, we characterize the classification of the wave speeds so that the entire solutions can be constructed more clearly. Especially, we investigate the influence of the asymmetry of the kernel on the minimal and maximal wave speeds.

数学学报杂志要求:

{1}作者姓名的汉语拼音应姓前名后，姓氏全部字母为大写，名字的首字母大写，双名中间不加连字符不间隔；汉语拼音的作者姓名写在英文表示的工作单位之前；多位作者的署名之间以逗号隔开；不同单位的作者姓名右上角加注序号。

{2}编辑部有权酌情删改来稿，如不同意请予说明。

{3}计量单位一律采用中国国家法定计量单位，有国际符号的计量单位均用符号表示；数值和国际计量单位间应有空格，若之间有汉字则无须空格；复合单位不使用除法格式，而使用乘积格式。

{4}注释以“①”“②”“③”等标注，并以脚注形式按序排列。

{5}基金资助信息：列出基金项目名称与编号。

注：因版权方要求，不能公开全文，如需全文，请咨询杂志社