On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations
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Summary
It is shown that in certain special cases one can easily compute or estimate the expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population.
- Type
- article
- Published
- 1990-06-01
- Cited by
- 4,956
- References
- 18
- Access
- Open access
- OpenAlex
- https://openalex.org/W1913866132
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:22275430
Keywords
Reproduction, Basic reproduction number, Computation, Computer science, Biology
References
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- Some spectral properties of positive linear operators
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- The transmission dynamics of human immunodeficiency virus (HIV).
- The growth and composition of branching populations
- The Biomathematics of Malaria
- The dynamical behaviour of the age-size-distribution of a cell population
- Models for Vector-Borne Parasitic Diseases
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- Spatial patterns in a discrete-time SIS patch model
- The metapopulation fitness criterion: proof and perspectives.
- Mathematical analysis of a model for HIV-malaria co-infection.
- Global stability for an SEIR epidemiological model with varying infectivity and infinite delay.
- Management of blood supplies during an influenza pandemic
- Unlocking pathogen genotyping information for public health by mathematical modeling.
- Linking community and disease ecology: the impact of biodiversity on pathogen transmission
- A MULTI-PATCH MALARIA MODEL WITH LOGISTIC GROWTH POPULATIONS
- Modeling bacterial colonization and infection routes in health care settings: analytic and numerical approaches.
- Positive Periodic Solutions of an Epidemic Model with Seasonality
- Controlling Malaria Using Livestock-Based Interventions: A One Health Approach
- Implications of the behavioural immune system for social behaviour and human health in the modern world
- Transmission Heterogeneity and Autoinoculation in a Multisite Infection Model of HPV
- Modelling multi-species parasite transmission.
- Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus
- Invasiveness of plant pathogens depends on the spatial scale of host distribution.
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