TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL

• 作者: Feiying Yang Runlong Qiao Wantong Li
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 行波解 传染病模型 非局部 抛撒 拉普拉斯变换 单调迭代法 临界速度 速度比
• 年，卷（期）: yysxnkywb,（2）
• 页码范围: 222-235
• 页数: 14页
• 分类号: O175.29

摘要

This paper is concerned with traveling wave solutions to a nonlocal dispersal epidemic model.Combining the upper and lower solutions and monotone iteration method,we establish the existence of nondecreasing traveling wave fronts for the speed being larger than the critical one.Furthermore,by the approximation method,the existence of traveUng wave fronts for the critical speed is estabUshed as weU.Finally,we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform.