TRAVELING WAVES FOR A NONLOCAL DISPERSAL SIR MODEL WITH GENERAL NONLINEAR INCIDENCE RATE AND SPATIO-TEMPORAL DELAY

被引：11
|
作者：
Zhou, Jinling [1 ]
Yang, Yu [1 ]
机构：
[1] Zhejiang Int Studies Univ, Sch Sci & Technol, Hangzhou 310012, Zhejiang, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 04期
关键词：
Traveling wave solution; SIR model; nonlocal dispersal; spatio-temporal delay; nonlinear incidence rate; REACTION-DIFFUSION SYSTEMS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ARBITRARILY DISTRIBUTED PERIODS; MCKENDRICK EPIDEMIC MODEL; MONOTONE ITERATION METHOD; SPREADING SPEEDS; POPULATION-MODEL; ENDEMIC MODELS; FRONTS; EXISTENCE;
D O I：
10.3934/dcdsb.2017082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonlocal dispersal SIR model with general nonlinear incidence rate and spatio-temporal delay. By Schauder's fixed point theorem and Laplace transform, we show that the existence and nonexistence of traveling wave solutions are determined by the basic reproduction number and the minimal wave speed. Some examples are listed to illustrate the theoretical results. Our results generalize some known results.
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页码：1719 / 1741
页数：23
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