On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission. (9th November 2004)
- Record Type:
- Journal Article
- Title:
- On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission. (9th November 2004)
- Main Title:
- On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
- Authors:
- El-Sheikh, M. M. A.
El-Marouf, S. A. A. - Abstract:
- Abstract : A four-dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three-dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf-Andronov-Poincaré bifurcation for the four-dimensional epidemic model are studied.
- Is Part Of:
- International journal of mathematics and mathematical sciences. Number 56(2004)
- Journal:
- International journal of mathematics and mathematical sciences
- Issue:
- Number 56(2004)
- Issue Display:
- Volume 56, Issue 56 (2004)
- Year:
- 2004
- Volume:
- 56
- Issue:
- 56
- Issue Sort Value:
- 2004-0056-0056-0000
- Page Start:
- 2971
- Page End:
- 2987
- Publication Date:
- 2004-11-09
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.hindawi.com/journals/ijmms/ ↗
- DOI:
- 10.1155/S0161171204310380 ↗
- Languages:
- English
- ISSNs:
- 0161-1712
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 11211.xml