A time-periodic and reaction-diffusion Dengue fever model with extrinsic incubation period and crowding effects
Zhang, Liang1; Wang, Shuang-Ming1,2
2020-02-01
发表期刊NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷号51
摘要

Dengue fever is a typical mosquito-borne disease transmitted by Aedes aegypti and Aedes albopictus mosquitoes to human, which has become a major public health concern worldwide. In this paper, we incorporate the extrinsic incubation period (EIP) of dengue virus, spatial and temporal (seasonal) heterogeneity, crowing effect for host population into Dengue fever transmission, and propose a time-periodic and nonlocal delayed reaction-diffusion model of Dengue fever. The basic reproduction number R-0 is introduced for the model system, and it serves a threshold type parameter that determines the transmission dynamics of Dengue fever. Numerical simulations indicate the influence of the aforementioned virus factors on the spread of the disease. (C) 2019 Elsevier Ltd. All rights reserved.

关键词Dengue fever model Extrinsic incubation period Seasonality Basic reproduction number Threshold dynamics
DOI10.1016/j.nonrwa.2019.102988
收录类别SCI ; SCIE ; EI
ISSN1468-1218
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000488994500019
出版者PERGAMON-ELSEVIER SCIENCE LTD
EI入藏号20193207284332
EI主题词Viruses
原始文献类型Journal article (JA)
引用统计
被引频次:17[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.lzufe.edu.cn/handle/39EH0E1M/10288
专题教务处
信息工程与人工智能学院
作者单位1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China;
2.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Gansu, Peoples R China
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Zhang, Liang,Wang, Shuang-Ming. A time-periodic and reaction-diffusion Dengue fever model with extrinsic incubation period and crowding effects[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2020,51.
APA Zhang, Liang,&Wang, Shuang-Ming.(2020).A time-periodic and reaction-diffusion Dengue fever model with extrinsic incubation period and crowding effects.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,51.
MLA Zhang, Liang,et al."A time-periodic and reaction-diffusion Dengue fever model with extrinsic incubation period and crowding effects".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 51(2020).
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