A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population
In this paper, we study an avian (host) stage-structured West Nile virus model, which incorporates seasonality as well as stage-specific mosquito biting rates. We first introduce the basic reproduction number R0 for this model and then show that the disease-free periodic solution is globally asympto...
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2020/2050587 |
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doaj-72be380b2c8f4cfba775b439700bad882020-11-24T22:00:37ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/20505872050587A Periodic West Nile Virus Transmission Model with Stage-Structured Host PopulationJunli Liu0Tailei Zhang1Qiaoling Chen2School of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaSchool of Science, Chang’an University, Xi’an 710064, ChinaSchool of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaIn this paper, we study an avian (host) stage-structured West Nile virus model, which incorporates seasonality as well as stage-specific mosquito biting rates. We first introduce the basic reproduction number R0 for this model and then show that the disease-free periodic solution is globally asymptotically stable when R0<1, while there exists at least one positive periodic solution and that the disease is uniformly persistent if R0>1. In the case where all coefficients are constants, for a special case, we obtain the global stability of the disease-free equilibrium, the uniqueness of the endemic equilibrium, and the permanence of the disease in terms of the basic reproduction number R0. Numerical simulations are carried out to verify the analytic result. Some sensitivity analysis of R0 is performed. Our finding shows that an increase in juvenile exposure will lead to more severe transmission. Moreover, we find that the ignorance of the seasonality may result in underestimation of the basic reproduction number R0.http://dx.doi.org/10.1155/2020/2050587 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Junli Liu Tailei Zhang Qiaoling Chen |
spellingShingle |
Junli Liu Tailei Zhang Qiaoling Chen A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population Complexity |
author_facet |
Junli Liu Tailei Zhang Qiaoling Chen |
author_sort |
Junli Liu |
title |
A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population |
title_short |
A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population |
title_full |
A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population |
title_fullStr |
A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population |
title_full_unstemmed |
A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population |
title_sort |
periodic west nile virus transmission model with stage-structured host population |
publisher |
Hindawi-Wiley |
series |
Complexity |
issn |
1076-2787 1099-0526 |
publishDate |
2020-01-01 |
description |
In this paper, we study an avian (host) stage-structured West Nile virus model, which incorporates seasonality as well as stage-specific mosquito biting rates. We first introduce the basic reproduction number R0 for this model and then show that the disease-free periodic solution is globally asymptotically stable when R0<1, while there exists at least one positive periodic solution and that the disease is uniformly persistent if R0>1. In the case where all coefficients are constants, for a special case, we obtain the global stability of the disease-free equilibrium, the uniqueness of the endemic equilibrium, and the permanence of the disease in terms of the basic reproduction number R0. Numerical simulations are carried out to verify the analytic result. Some sensitivity analysis of R0 is performed. Our finding shows that an increase in juvenile exposure will lead to more severe transmission. Moreover, we find that the ignorance of the seasonality may result in underestimation of the basic reproduction number R0. |
url |
http://dx.doi.org/10.1155/2020/2050587 |
work_keys_str_mv |
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1716612118090874880 |