Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission

1992/06/01 by Wenzhang Huang, WenZhang Huang, Kenneth L. Cooke +2 · 3 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Applied mathematics #Basic reproduction number #Bifurcation #Biology #COVID-19 epidemiological studies #Computer science #Demography #Dynamics (music) #Epidemic model #Evolution and Genetic Dynamics #Group (periodic table) #Human immunodeficiency virus (HIV) #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Mixing (physics) #Physics #Population #Quantum mechanics #Sociology #Stability (learning theory) #Statistical physics #Telecommunications #Transmission (telecommunications) #Variable (mathematics) #Virology

paper · doi:10.1137/0152047

crossref issued 1992/06/01 · crossref published 1992/06/01 · crossref published-print 1992/06/01 · openalex publication_date 1992/06/01 · crossref created 2005/02/23 · crossref deposited 2024/12/23 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/07/31

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.

Citations

• On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations
• A deterministic model for gonorrhea in a nonhomogeneous population

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