Epidemiological models with age structure, proportionate mixing, and cross-immunity

Carlos Castillo‐Chávez; H. W. Hethcote; Viggo Andreasen; Simon A. Levin; W. M. Liu

doi:10.1007/bf00275810

Keywords

ImmunityBiologyImmunologyHerd immunityAge structureVirologyImmune systemVaccinationDemographyPopulation

Affiliated Institutions

Related Publications

Age-related changes in the rate of disease transmission: implications for the design of vaccination programmes

Roy M. Anderson , Robert M. May

SUMMARY Mathematical models are developed to aid in the investigation of the implications of heterogeneity in contact with infection within a community, on the design of mass va...

1985 Journal of Hygiene 313 citations

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

Wenzhang Huang , Kenneth L. Cooke , Carlos Castillo‐Chávez

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 possibl...

1992 SIAM Journal on Applied Mathematics 211 citations

Magnitude of Potential Biases in a Simulated Case-Control Study of the Effectiveness of Influenza Vaccination

Jill M. Ferdinands , David K. Shay

We found an average difference between observed and true vaccine effectiveness of -11.9%. Observed vaccine effectiveness underestimated the true effectiveness in 88% of model it...

2011 Clinical Infectious Diseases 36 citations

Vaccination against rubella and measles: quantitative investigations of different policies

Roy M. Anderson , Robert M. May

SUMMARY This paper uses relatively simple and deterministic mathematical models to examine the impact that different immunization policies have on the age-specific incidence of ...

1983 Journal of Hygiene 322 citations

Herd Immunity: Understanding COVID-19

Haley E. Randolph , Luis B. Barreiro

2020 Immunity 1180 citations

Publication Info

Year: 1989
Type: article
Volume: 27
Issue: 3
Pages: 233-258
Citations: 337
Access: Closed

External Links

View on DOI.org

Social Impact

Altmetric

Epidemiological models with age structure, proportionate mixing, and cross-immunity

PlumX Metrics

Social media, news, blog, policy document mentions

Citation Metrics

337

OpenAlex

Cite This

APA Style

                            
                                
                                    Carlos Castillo‐Chávez, 
                                
                                    H. W. Hethcote, 
                                
                                    Viggo Andreasen
                                
                                et al.
                            
                            (1989). 
                            Epidemiological models with age structure, proportionate mixing, and cross-immunity. 
                            Journal of Mathematical Biology
                            , 27
                            (3)
                            , 233-258.
                            https://doi.org/10.1007/bf00275810
                        

Identifiers

DOI: 10.1007/bf00275810