Abstract
This paper examines a multigroup epidemic model with variable population size. It is shown that even in the case of proportionate mixing, multiple endemic equilibria are possible. The significance of these results in the study of the dynamics of sexually transmitted diseases and theoretical biology is discussed.
Keywords
Dynamics (music)Stability (learning theory)Human immunodeficiency virus (HIV)Transmission (telecommunications)BifurcationMixing (physics)Variable (mathematics)PopulationEpidemic modelStatistical physicsMathematicsBasic reproduction numberGroup (periodic table)Applied mathematicsVirologyDemographyMathematical analysisComputer sciencePhysicsBiologyTelecommunicationsSociologyQuantum mechanics
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Publication Info
- Year
- 1992
- Type
- article
- Volume
- 52
- Issue
- 3
- Pages
- 835-854
- Citations
- 211
- Access
- Closed
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Cite This
Wenzhang Huang,
Kenneth L. Cooke,
Carlos Castillo‐Chávez
(1992).
Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission.
SIAM Journal on Applied Mathematics
, 52
(3)
, 835-854.
https://doi.org/10.1137/0152047
Identifiers
- DOI
- 10.1137/0152047