An SIR pairwise epidemic model with infection age and demography
The demography and infection age play an important role in the spread of slowly progressive diseases. To investigate their effects on the disease spreading, we propose a pairwise epidemic model with infection age and demography on dynamic networks. The basic reproduction number of this model is deri...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Taylor & Francis Group
2018-01-01
|
Series: | Journal of Biological Dynamics |
Subjects: | |
Online Access: | http://dx.doi.org/10.1080/17513758.2018.1475018 |
_version_ | 1819171116582699008 |
---|---|
author | Wenjun Jing Zhen Jin Juping Zhang |
author_facet | Wenjun Jing Zhen Jin Juping Zhang |
author_sort | Wenjun Jing |
collection | DOAJ |
description | The demography and infection age play an important role in the spread of slowly progressive diseases. To investigate their effects on the disease spreading, we propose a pairwise epidemic model with infection age and demography on dynamic networks. The basic reproduction number of this model is derived. It is proved that there is a disease-free equilibrium which is globally asymptotically stable if the basic reproduction number is less that unity. Besides, sensitivity analysis is performed and shows that increasing the variance in recovery time and decreasing the variance in infection time can effectively control the diseases. The complex interaction between the death rate and equilibrium prevalence suggests that it is imperative to correctly estimate the parameters of demography in order to assess the disease transmission dynamics accurately. Moreover, numerical simulations show that the endemic equilibrium is globally asymptotically stable. |
first_indexed | 2024-12-22T19:46:11Z |
format | Article |
id | doaj.art-8425696ca4464aefaa1ad9adeb8abc9a |
institution | Directory Open Access Journal |
issn | 1751-3758 1751-3766 |
language | English |
last_indexed | 2024-12-22T19:46:11Z |
publishDate | 2018-01-01 |
publisher | Taylor & Francis Group |
record_format | Article |
series | Journal of Biological Dynamics |
spelling | doaj.art-8425696ca4464aefaa1ad9adeb8abc9a2022-12-21T18:14:41ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662018-01-0112148650810.1080/17513758.2018.14750181475018An SIR pairwise epidemic model with infection age and demographyWenjun Jing0Zhen Jin1Juping Zhang2Shanxi UniversityShanxi UniversityShanxi UniversityThe demography and infection age play an important role in the spread of slowly progressive diseases. To investigate their effects on the disease spreading, we propose a pairwise epidemic model with infection age and demography on dynamic networks. The basic reproduction number of this model is derived. It is proved that there is a disease-free equilibrium which is globally asymptotically stable if the basic reproduction number is less that unity. Besides, sensitivity analysis is performed and shows that increasing the variance in recovery time and decreasing the variance in infection time can effectively control the diseases. The complex interaction between the death rate and equilibrium prevalence suggests that it is imperative to correctly estimate the parameters of demography in order to assess the disease transmission dynamics accurately. Moreover, numerical simulations show that the endemic equilibrium is globally asymptotically stable.http://dx.doi.org/10.1080/17513758.2018.1475018demographyinfection agecomplex networknon-markovian transmission and recovery |
spellingShingle | Wenjun Jing Zhen Jin Juping Zhang An SIR pairwise epidemic model with infection age and demography Journal of Biological Dynamics demography infection age complex network non-markovian transmission and recovery |
title | An SIR pairwise epidemic model with infection age and demography |
title_full | An SIR pairwise epidemic model with infection age and demography |
title_fullStr | An SIR pairwise epidemic model with infection age and demography |
title_full_unstemmed | An SIR pairwise epidemic model with infection age and demography |
title_short | An SIR pairwise epidemic model with infection age and demography |
title_sort | sir pairwise epidemic model with infection age and demography |
topic | demography infection age complex network non-markovian transmission and recovery |
url | http://dx.doi.org/10.1080/17513758.2018.1475018 |
work_keys_str_mv | AT wenjunjing ansirpairwiseepidemicmodelwithinfectionageanddemography AT zhenjin ansirpairwiseepidemicmodelwithinfectionageanddemography AT jupingzhang ansirpairwiseepidemicmodelwithinfectionageanddemography AT wenjunjing sirpairwiseepidemicmodelwithinfectionageanddemography AT zhenjin sirpairwiseepidemicmodelwithinfectionageanddemography AT jupingzhang sirpairwiseepidemicmodelwithinfectionageanddemography |