Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population

Yao Hu, Lequan Min, Yongmei Su, Yang Kuang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Epidemic Spreading is a major global health problem. Modeling epidemic spreading dynamics is important for understanding and controlling epidemic spreading, providing prevention strategies. This paper points out some flaws existing in the susceptibleinfected - susceptible (SIS) model proposed by Safan and Rihan, and proposes a modified susceptible-infected-recovered (SIR) model on homogenous networks. It is proved that if the basic reproduction number Rv of the model is less than one, then the infection-free equilibrium of the model is globally asymptotically stable. On the other hand, if Rv of the model is more than one, the endemic equilibrium of the model is globally asymptotically stable. This paper also numerically predicts the effect of vaccination ratio on the size of HBV infected mainland Chinese population.

Original languageEnglish (US)
Title of host publicationProceedings of the 8th International Conference on Computer Modeling and Simulation, ICCMS 2017
PublisherAssociation for Computing Machinery
Pages7-13
Number of pages7
VolumePart F128047
ISBN (Electronic)9781450348164
DOIs
StatePublished - Jan 20 2017
Event8th International Conference on Computer Modeling and Simulation, ICCMS 2017 - Canberra, Australia
Duration: Jan 20 2017Jan 23 2017

Other

Other8th International Conference on Computer Modeling and Simulation, ICCMS 2017
CountryAustralia
CityCanberra
Period1/20/171/23/17

Fingerprint

Medical problems
Defects

Keywords

  • Birth and death rate
  • Global stability
  • Homogenous network
  • Local stability
  • Sir model

ASJC Scopus subject areas

  • Human-Computer Interaction
  • Computer Networks and Communications
  • Computer Vision and Pattern Recognition
  • Software

Cite this

Hu, Y., Min, L., Su, Y., & Kuang, Y. (2017). Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population. In Proceedings of the 8th International Conference on Computer Modeling and Simulation, ICCMS 2017 (Vol. Part F128047, pp. 7-13). Association for Computing Machinery. https://doi.org/10.1145/3036331.3036348

Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population. / Hu, Yao; Min, Lequan; Su, Yongmei; Kuang, Yang.

Proceedings of the 8th International Conference on Computer Modeling and Simulation, ICCMS 2017. Vol. Part F128047 Association for Computing Machinery, 2017. p. 7-13.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hu, Y, Min, L, Su, Y & Kuang, Y 2017, Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population. in Proceedings of the 8th International Conference on Computer Modeling and Simulation, ICCMS 2017. vol. Part F128047, Association for Computing Machinery, pp. 7-13, 8th International Conference on Computer Modeling and Simulation, ICCMS 2017, Canberra, Australia, 1/20/17. https://doi.org/10.1145/3036331.3036348
Hu Y, Min L, Su Y, Kuang Y. Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population. In Proceedings of the 8th International Conference on Computer Modeling and Simulation, ICCMS 2017. Vol. Part F128047. Association for Computing Machinery. 2017. p. 7-13 https://doi.org/10.1145/3036331.3036348
Hu, Yao ; Min, Lequan ; Su, Yongmei ; Kuang, Yang. / Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population. Proceedings of the 8th International Conference on Computer Modeling and Simulation, ICCMS 2017. Vol. Part F128047 Association for Computing Machinery, 2017. pp. 7-13
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