Traveling Waves and Spread Rates for a West Nile Virus Model

2006 ◽  
Vol 68 (1) ◽  
pp. 3-23 ◽  
Author(s):  
Mark Lewis ◽  
Joanna Rencławowicz ◽  
P. van den Driessche
Keyword(s):  
West Nile Virus ◽  
Traveling Waves ◽  
West Nile ◽  
Virus Model

scholarly journals Coexistence of a cross-diffusive West Nile virus model in a heterogenous environment

2018 ◽  
Vol 15 (6) ◽  
pp. 1479-1494 ◽  
Author(s):  
Abdelrazig K. Tarboush ◽  
◽  
Jing Ge ◽  
Zhigui Lin ◽  
◽  
...  
Keyword(s):  
West Nile Virus ◽  
West Nile ◽  
Virus Model

Asymptotic periodicity in a diffusive West Nile virus model in a heterogeneous environment

2017 ◽  
Vol 10 (08) ◽  
pp. 1750110 ◽  
Author(s):  
Abdelrazig K. Tarboush ◽  
Jing Ge ◽  
Zhigui Lin
Keyword(s):  
Periodic Solution ◽  
West Nile Virus ◽  
Homogeneous Model ◽  
Heterogeneous Environment ◽  
West Nile ◽  
True Solution ◽  
Monotone Iterative ◽  
Number Formula ◽  
Virus Model ◽  
Asymptotic Periodicity

This paper is concerned with a diffusive West Nile virus model (WNv) in a heterogeneous environment. The basic reproduction number [Formula: see text] for spatially homogeneous model is first introduced. We then define a threshold parameter [Formula: see text] for the corresponding diffusive WNv model in a heterogeneous environment. It is shown that if [Formula: see text], the model admits at least one nontrivial T-periodic solution, whereas if [Formula: see text], the model has no nontrivial T-periodic solution. By means of monotone iterative schemes, the true solution can be obtained and the asymptotic behavior of periodic solutions is presented. The paper is closed with some numerical simulations to illustrate our theoretical results.

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

2018 ◽  
Vol 41 ◽  
pp. 313-333 ◽  
Author(s):  
Yu-Chiau Shyu ◽  
Rong-Nan Chien ◽  
Feng-Bin Wang
Keyword(s):  
West Nile Virus ◽  
Global Dynamics ◽  
West Nile ◽  
Virus Model

A West Nile Virus Model with Vertical Transmission and Periodic Time Delays

2019 ◽  
Vol 30 (1) ◽  
pp. 449-486 ◽  
Author(s):  
Fuxiang Li ◽  
Junli Liu ◽  
Xiao-Qiang Zhao
Keyword(s):  
West Nile Virus ◽  
Vertical Transmission ◽  
Time Delays ◽  
West Nile ◽  
Virus Model

Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics

2019 ◽  
Vol 80 (3) ◽  
pp. 809-834
Author(s):  
Zhipeng Qiu ◽  
Xuerui Wei ◽  
Chunhua Shan ◽  
Huaiping Zhu
Keyword(s):  
West Nile Virus ◽  
West Nile ◽  
Virus Model

scholarly journals Spreading and vanishing in a West Nile virus model with expanding fronts

2017 ◽  
Vol 60 (5) ◽  
pp. 841-860 ◽  
Author(s):  
Abdelrazig K. Tarboush ◽  
ZhiGui Lin ◽  
MengYun Zhang
Keyword(s):  
West Nile Virus ◽  
West Nile ◽  
Spreading And Vanishing ◽  
Virus Model

Spatial spreading of West Nile Virus described by traveling waves

2009 ◽  
Vol 258 (3) ◽  
pp. 403-417 ◽  
Author(s):  
Norberto Aníbal Maidana ◽  
Hyun Mo Yang
Keyword(s):  
West Nile Virus ◽  
Traveling Waves ◽  
West Nile ◽  
Spatial Spreading
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