Spreading speeds of epidemic models with nonlocal delays | |
Lin, Guo1; Pan, Shuxia2; Yan, Xiang-Ping3 | |
刊名 | MATHEMATICAL BIOSCIENCES AND ENGINEERING |
2019 | |
卷号 | 16期号:6页码:7562-7588 |
关键词 | auxiliary equation nonmonotone system asymptotic spreading |
ISSN号 | 1547-1063 |
DOI | 10.3934/mbe.2019380 |
英文摘要 | We estimate the spreading speeds in diffusive epidemic models with nonlocal delays, nonlinear incidence rate and constant recruitment rate. The purpose is to model the process that the infective invades the habitat of the susceptible, and they coexist eventually. In order to focus on our idea, a system with a nonlinear incidence rate is firstly studied, which implies a saturation level of the infective individuals and monotone incidence rate. When the initial value of the infective has nonempty compact support, we prove the rough spreading speed that equals the minimal wave speed of traveling wave solutions in the known results. Then for a general (nonmonotone) incidence rate, we obtain the spreading speeds by constructing auxiliary systems admitting a monotone incidence rate, and prove the convergence of solutions on any compact spatial interval. Furthermore, some numerical examples are given to estimate the invasion speed and show the nontrivial effect of time delay and spatial nonlocality, which implies that the stronger spatial nonlocality leads to larger spreading speeds. |
资助项目 | Foundation of a Hundred Youth Talents Training Program of Lanzhou Jiaotong University[152022] |
WOS研究方向 | Mathematical & Computational Biology |
语种 | 英语 |
出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
WOS记录号 | WOS:000487331700072 |
状态 | 已发表 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.223/handle/2XXMBERH/32261] |
专题 | 理学院 |
通讯作者 | Lin, Guo |
作者单位 | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China 3.Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China |
推荐引用方式 GB/T 7714 | Lin, Guo,Pan, Shuxia,Yan, Xiang-Ping. Spreading speeds of epidemic models with nonlocal delays[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING,2019,16(6):7562-7588. |
APA | Lin, Guo,Pan, Shuxia,&Yan, Xiang-Ping.(2019).Spreading speeds of epidemic models with nonlocal delays.MATHEMATICAL BIOSCIENCES AND ENGINEERING,16(6),7562-7588. |
MLA | Lin, Guo,et al."Spreading speeds of epidemic models with nonlocal delays".MATHEMATICAL BIOSCIENCES AND ENGINEERING 16.6(2019):7562-7588. |
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