Growth rate and basic reproduction number for population models with a simple periodic factor.
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Summary
It is shown that apart from a few exceptional parameter values, the epidemic threshold depends not only on the mean contact rate, but also on the amplitude of fluctuations.
- Type
- dissertation
- Published
- 2007-12-01
- Cited by
- 112
- References
- 23
- OpenAlex
- https://openalex.org/W17822724
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:27886140
Keywords
Physics, Nuclear chemistry, Chemistry
References
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- Outbreak properties of epidemic models: the roles of temporal forcing and stochasticity on pathogen invasion dynamics.
- Modelling climate change and malaria transmission.
- Qualitative Theory of Switched Integro-differential Equations with Applications
- Modélisation et contrôle de la transmission du virus de la maladie de Newcastle dans les élevages aviaires familiaux de Madagascar
- Understanding dengue fever dynamics: a study of seasonality in vector-borne disease models
- A periodic age-structured epidemic model with a wide class of incidence rates
- Modeling the Effects of Weather and Climate Change on Malaria Transmission
- Stochastic model of porcine reproductive and respiratory syndrome virus control strategies on a swine farm in the United States.
- Periodic Matrix Population Models: Growth Rate, Basic Reproduction Number, and Entropy
- From regional pulse vaccination to global disease eradication: insights from a mathematical model of poliomyelitis
- Computing the basic reproductive numbers for epidemiological models in nonhomogeneous environments
- Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model
- DIFFERENTIAL SUSCEPTIBILITY TIME-DEPENDENT SIR EPIDEMIC MODEL
- Genealogy with seasonality, the basic reproduction number, and the influenza pandemic
- Modelling cholera in periodic environments
- Smallpox and Season: Reanalysis of Historical Data
- Resonance of the epidemic threshold in a periodic environment
- Threshold conditions for a non-autonomous epidemic model with vaccination
- A Periodic Epidemic Model with Age Structure in a Patchy Environment
- Pulse and constant control schemes for epidemic models with seasonality
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