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DOI | 10.3934/dcdsb.2018099 |
IMPACT OF SPATIALLY HETEROGENEOUS TEMPERATURE ON THE DYNAMICS OF DENGUE EPIDEMICS | |
Vaidya, Naveen K.1; Li, Xianping2; Wang, Feng-Bin3,4 | |
发表日期 | 2019 |
ISSN | 1531-3492 |
EISSN | 1553-524X |
卷号 | 24期号:1页码:321-349 |
英文摘要 | In recent years, the growing spatial spread of dengue, a mosquitoborne disease, has been a major international public health concern. In this paper, we propose a mathematical model to describe an impact of spatially heterogeneous temperature on the dynamics of dengue epidemics. We first consider homogeneous temperature profiles across space and study sensitivity of the basic reproduction number to the environmental temperature. We then introduce spatially heterogeneous temperature into the model and establish some important properties of dengue dynamics. In particular, we formulate two indices, mosquito reproduction number and infection invasion threshold, which completely determine the global threshold dynamics of the model. We also perform numerical simulations to explore the impact of spatially heterogeneous temperature on the disease dynamics. Our analytical and numerical results reveal that spatial heterogeneity of temperature can have significant impact on expansion of dengue epidemics. Our results, including threshold indices, may provide useful information for effective deployment of spatially targeted interventions. |
WOS研究方向 | Mathematics |
来源期刊 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
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文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/90539 |
作者单位 | 1.San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA; 2.Univ Missouri, Dept Math & Stat, Kansas City, MO 64110 USA; 3.Chang Gung Univ, Ctr Gen Educ, Dept Nat Sci, Taoyuan 333, Taiwan; 4.Chang Gung Mem Hosp, Community Med Res Ctr, Keelung 204, Taiwan |
推荐引用方式 GB/T 7714 | Vaidya, Naveen K.,Li, Xianping,Wang, Feng-Bin. IMPACT OF SPATIALLY HETEROGENEOUS TEMPERATURE ON THE DYNAMICS OF DENGUE EPIDEMICS[J],2019,24(1):321-349. |
APA | Vaidya, Naveen K.,Li, Xianping,&Wang, Feng-Bin.(2019).IMPACT OF SPATIALLY HETEROGENEOUS TEMPERATURE ON THE DYNAMICS OF DENGUE EPIDEMICS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,24(1),321-349. |
MLA | Vaidya, Naveen K.,et al."IMPACT OF SPATIALLY HETEROGENEOUS TEMPERATURE ON THE DYNAMICS OF DENGUE EPIDEMICS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 24.1(2019):321-349. |
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