lnu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A stochastic SIRI epidemic model with Lévy noise
Ibn Tofail University, Morocco.
Ibn Tofail University, Morocco.
University of Seville, Spain.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-7790-0539
2018 (English)In: Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, E-ISSN 1553-524X, p. 1-17Article in journal (Refereed) Epub ahead of print
Abstract [en]

Some diseases such as herpes, bovine and human tuberculosis exhibit relapse in which the recovered individuals do not acquit permanent immunity but return to infectious class. Such diseases are modeled by SIRI models. In this paper, we establish the existence of a unique global positive solution for a stochastic epidemic model with relapse and jumps. We also investigate the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Furthermore, we present some numerical results to support the theoretical work.

Place, publisher, year, edition, pages
2018. p. 1-17
Keyword [en]
SIRI epidemic model, Lévy process, white noise
National Category
Probability Theory and Statistics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-73095DOI: 10.3934/dcdsb.2018057OAI: oai:DiVA.org:lnu-73095DiVA, id: diva2:1199248
Available from: 2018-04-19 Created: 2018-04-19 Last updated: 2018-04-20

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Pettersson, Roger

Search in DiVA

By author/editor
Pettersson, Roger
By organisation
Department of Mathematics
In the same journal
Discrete and continuous dynamical systems. Series B
Probability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 12 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf