Global dynamics of a West Nile virus model in a spatially variable habitat

Yu Chiau Shyu; Rong Nan Chien; Feng Bin Wang

doi:10.1016/j.nonrwa.2017.10.017

Global dynamics of a West Nile virus model in a spatially variable habitat

Yu Chiau Shyu
, Rong Nan Chien
, Feng Bin Wang^*

^*Corresponding author for this work

Chang Gung Memorial Hospital
Academia Sinica - Institute of Molecular Biology
Chang Gung University of Science and Technology

Research output: Contribution to journal › Journal Article › peer-review

16 Scopus citations

Abstract

In this paper, we investigate a mathematical model that describes the transmission dynamics of West Nile virus (WNV) associated with the mosquito–bird population in a continuous bounded habitat. Our model is given by a spatial reaction–diffusion system with the zero-flux condition on the boundary, which is motivated by the models in the previous works of Wonham et al. (2004) and Lewis et al. (2006). By using the comparison theorem and the theory of uniform persistence, we show that the global dynamics of the model can be determined by two indices, mosquito reproduction number and infection invasion threshold.

Original language	English
Pages (from-to)	313-333
Number of pages	21
Journal	Nonlinear Analysis: Real World Applications
Volume	41
DOIs	https://doi.org/10.1016/j.nonrwa.2017.10.017
State	Published - 06 2018

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Ltd

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Basic reproduction number
Steady states
Threshold dynamics
Uniform persistence
West Nile virus system

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10.1016/j.nonrwa.2017.10.017

Cite this

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title = "Global dynamics of a West Nile virus model in a spatially variable habitat",

abstract = "In this paper, we investigate a mathematical model that describes the transmission dynamics of West Nile virus (WNV) associated with the mosquito–bird population in a continuous bounded habitat. Our model is given by a spatial reaction–diffusion system with the zero-flux condition on the boundary, which is motivated by the models in the previous works of Wonham et al. (2004) and Lewis et al. (2006). By using the comparison theorem and the theory of uniform persistence, we show that the global dynamics of the model can be determined by two indices, mosquito reproduction number and infection invasion threshold.",

keywords = "Basic reproduction number, Steady states, Threshold dynamics, Uniform persistence, West Nile virus system",

author = "Shyu, \{Yu Chiau\} and Chien, \{Rong Nan\} and Wang, \{Feng Bin\}",

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year = "2018",

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doi = "10.1016/j.nonrwa.2017.10.017",

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T1 - Global dynamics of a West Nile virus model in a spatially variable habitat

AU - Shyu, Yu Chiau

AU - Chien, Rong Nan

AU - Wang, Feng Bin

PY - 2018/6

Y1 - 2018/6

N2 - In this paper, we investigate a mathematical model that describes the transmission dynamics of West Nile virus (WNV) associated with the mosquito–bird population in a continuous bounded habitat. Our model is given by a spatial reaction–diffusion system with the zero-flux condition on the boundary, which is motivated by the models in the previous works of Wonham et al. (2004) and Lewis et al. (2006). By using the comparison theorem and the theory of uniform persistence, we show that the global dynamics of the model can be determined by two indices, mosquito reproduction number and infection invasion threshold.

AB - In this paper, we investigate a mathematical model that describes the transmission dynamics of West Nile virus (WNV) associated with the mosquito–bird population in a continuous bounded habitat. Our model is given by a spatial reaction–diffusion system with the zero-flux condition on the boundary, which is motivated by the models in the previous works of Wonham et al. (2004) and Lewis et al. (2006). By using the comparison theorem and the theory of uniform persistence, we show that the global dynamics of the model can be determined by two indices, mosquito reproduction number and infection invasion threshold.

KW - Basic reproduction number

KW - Steady states

KW - Threshold dynamics

KW - Uniform persistence

KW - West Nile virus system

UR - https://www.scopus.com/pages/publications/85034030798

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DO - 10.1016/j.nonrwa.2017.10.017

M3 - 文章

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SN - 1468-1218

VL - 41

SP - 313

EP - 333

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

Global dynamics of a West Nile virus model in a spatially variable habitat

Abstract

Bibliographical note

UN SDGs

Keywords

Access to Document

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