Published January 30, 2009
| Version v1
Journal article
Lyapunov functions for a dengue disease transmission model
- 1. Department of Mathematics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde (Cameroon)
- 2. Department of Mathematics, Faculty of Science, University Marien Ngouabi, P.O. Box 69, Brazzaville (Congo, The Democratic Republic of the)
- 3. Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P.O. Box 24157, Douala (Cameroon)
Description
In this paper, we study a model for the dynamics of dengue fever when only one type of virus is present. For this model, Lyapunov functions are used to show that when the basic reproduction ratio is less than or equal to one, the disease-free equilibrium is globally asymptotically stable, and when it is greater than one there is an endemic equilibrium which is also globally asymptotically stable.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2007.01.069Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2007.01.069;
- PII
- S0960-0779(07)00156-7;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 39
- Journal Issue
- 2
- Journal Page Range
- p. 936-941
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41008625
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- DISEASES; FEVER; FUNCTIONS; LYAPUNOV METHOD; REPRODUCTION; TRANSMISSION; VIRUSES
- Descriptors DEC
- CALCULATION METHODS; MICROORGANISMS; PARASITES; SYMPTOMS
Optional Information
- Copyright
- Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.