A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations
In this paper, we analyze the e ect of environment noise on the transmission dynamics of a stochastic hepatitis B virus (HBV) infection model with intervention strategies. By using the Markov semigroups theory, we define the stochastic basic reproduction number and find it can be used to govern dise...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2019-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/mbe.2019129?viewType=HTML |
| _version_ | 1819124365013286912 |
|---|---|
| author | Kangbo Bao Qimin Zhang Xining Li |
| author_facet | Kangbo Bao Qimin Zhang Xining Li |
| author_sort | Kangbo Bao |
| collection | DOAJ |
| description | In this paper, we analyze the e ect of environment noise on the transmission dynamics of a stochastic hepatitis B virus (HBV) infection model with intervention strategies. By using the Markov semigroups theory, we define the stochastic basic reproduction number and find it can be used to govern disease extinction or persistence. When it is less than one, under a mild extra condition, the stochastic system has a disease-free equilibrium and the disease is predicted to die out with probability one. When it is greater than one, under mild extra conditions, the model admits a stationary distribution which means the persistence of the disease. Thus, we observe that larger intensity of noise (resulting in a smaller stochastic basic reproduction number) can suppress the emergence of hepatitis B outbreak. Numerical simulations are also carried out to investigate the influence of information intervention strategies that may change individual behavior and protect the susceptible from infection. Our analysis shows that the environmental noise can greatly a ect the long-term behavior of the system, highlighting the importance of the role of intervention strategies in the control of hepatitis B. |
| first_indexed | 2024-12-22T07:23:05Z |
| format | Article |
| id | doaj.art-100dcae5af07457fa5d581c81badb6f7 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-22T07:23:05Z |
| publishDate | 2019-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-100dcae5af07457fa5d581c81badb6f72022-12-21T18:34:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182019-03-011642562258610.3934/mbe.2019129A model of HBV infection with intervention strategies: dynamics analysis and numerical simulationsKangbo Bao0Qimin Zhang1Xining Li2 School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, P.R. China School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, P.R. ChinaSchool of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, P.R. ChinaIn this paper, we analyze the e ect of environment noise on the transmission dynamics of a stochastic hepatitis B virus (HBV) infection model with intervention strategies. By using the Markov semigroups theory, we define the stochastic basic reproduction number and find it can be used to govern disease extinction or persistence. When it is less than one, under a mild extra condition, the stochastic system has a disease-free equilibrium and the disease is predicted to die out with probability one. When it is greater than one, under mild extra conditions, the model admits a stationary distribution which means the persistence of the disease. Thus, we observe that larger intensity of noise (resulting in a smaller stochastic basic reproduction number) can suppress the emergence of hepatitis B outbreak. Numerical simulations are also carried out to investigate the influence of information intervention strategies that may change individual behavior and protect the susceptible from infection. Our analysis shows that the environmental noise can greatly a ect the long-term behavior of the system, highlighting the importance of the role of intervention strategies in the control of hepatitis B.https://www.aimspress.com/article/10.3934/mbe.2019129?viewType=HTMLstochastic hepatitis b modelmarkov semigroupsstochastic basic reproduction numberintervention strategiesextinction and persistence |
| spellingShingle | Kangbo Bao Qimin Zhang Xining Li A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations Mathematical Biosciences and Engineering stochastic hepatitis b model markov semigroups stochastic basic reproduction number intervention strategies extinction and persistence |
| title | A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations |
| title_full | A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations |
| title_fullStr | A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations |
| title_full_unstemmed | A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations |
| title_short | A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations |
| title_sort | model of hbv infection with intervention strategies dynamics analysis and numerical simulations |
| topic | stochastic hepatitis b model markov semigroups stochastic basic reproduction number intervention strategies extinction and persistence |
| url | https://www.aimspress.com/article/10.3934/mbe.2019129?viewType=HTML |
| work_keys_str_mv | AT kangbobao amodelofhbvinfectionwithinterventionstrategiesdynamicsanalysisandnumericalsimulations AT qiminzhang amodelofhbvinfectionwithinterventionstrategiesdynamicsanalysisandnumericalsimulations AT xiningli amodelofhbvinfectionwithinterventionstrategiesdynamicsanalysisandnumericalsimulations AT kangbobao modelofhbvinfectionwithinterventionstrategiesdynamicsanalysisandnumericalsimulations AT qiminzhang modelofhbvinfectionwithinterventionstrategiesdynamicsanalysisandnumericalsimulations AT xiningli modelofhbvinfectionwithinterventionstrategiesdynamicsanalysisandnumericalsimulations |