The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Approximation of the Basic Reproduction Number R 0 for Vector-Borne Diseases with a Periodic Vector Population
Open accessAbstract
The main purpose of this paper is to give an approximate formula involving two terms for the basic reproduction number R(0) of a vector-borne disease when the vector population has small seasonal fluctuations of the form p(t) = p(0) (1+epsilon cos(omegat - phi)) with epsilon << 1. The first term is similar to the case of a constant vector population p but with p replaced by the average vector population p(0). The maximum correction due to the second term is (epsilon(2)/8)% and always tends to decrease R(0). The basic reproduction number R(0) is defined through the spectral radius of a linear integral operator. Four numerical methods for the computation of R(0) are compared using as example a model for the 2005/2006 chikungunya epidemic in La Réunion. The approximate formula and the numerical methods can be used for many other epidemic models with seasonality.
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Cited by
Blood-Feeding Behavior of Aedes albopictus , a Vector of Chikungunya on La Réunion
Delatte, H., Desvars, A., Bouétard, A., Bord, S., Gimonneau, G., Vourc'h, G., & Fontenille, D. (2010) · Vector-Borne and Zoonotic Diseases · doi:10.1089/vbz.2009.0026 · Cited by 289
On a temporal model for the Chikungunya disease: Modeling, theory and numerics
Dumont, Y., Chiroleu, F., & Domerg, C. (2008) · Mathematical Biosciences · doi:10.1016/j.mbs.2008.02.008 · Cited by 203
Shocket, M. S., Verwillow, A. B., Numazu, M. G., Slamani, H., Cohen, J. M., El Moustaid, F., Rohr, J., Johnson, L. R., & Mordecai, E. A. (2020) · eLife · doi:10.7554/elife.58511 · Cited by 192
Qualitative assessment of the role of temperature variations on malaria transmission dynamics
AGUSTO, F. B., GUMEL, A. B., & PARHAM, P. E. (2015) · Journal of Biological Systems · doi:10.1142/s0218339015500308 · Cited by 83
Metadata
- Authors
- Bacaër, N.
- Venue
- Bulletin of Mathematical Biology
- Published
- 2007-01-30
- Volume
- 69
- Issue
- 3
- Pages
- 1067-1091
- ISSN
- 0092-8240 (ISSN-L)
- 1522-9602
- OpenAlex
- W2007005657
- Cited by
- 269
- References
- 22
- FWCI
- 9.60
- Type
- journal article
- Language
- en
- Open access
- gold
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- Bacaër, N. (2007). Approximation of the Basic Reproduction Number R 0 for Vector-Borne Diseases with a Periodic Vector Population. Bulletin of Mathematical Biology. https://doi.org/10.1007/s11538-006-9166-9
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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