» Articles » PMID: 29928732

Mathematical Epidemiology: Past, Present, and Future

Overview
Date 2018 Jun 22
PMID 29928732
Citations 97
Authors
Affiliations
Soon will be listed here.
Abstract

We give a brief outline of some of the important aspects of the development of mathematical epidemiology.

Citing Articles

Phylogenetic analyses of the spread of Clade I MPOX in African and non-African nations.

Chakraborty C, Bhattacharya M, Das A, Abdelhameed A Virus Genes. 2025; .

PMID: 39937430 DOI: 10.1007/s11262-025-02138-2.


Mathematical modelling and analysis for the co-infection of viral and bacterial diseases: a systematic review protocol.

Yano T, Afrifa-Yamoah E, Collins J, Mueller U, Richardson S BMJ Open. 2024; 14(12):e084027.

PMID: 39740936 PMC: 11749694. DOI: 10.1136/bmjopen-2024-084027.


A tight fit of the SIR dynamic epidemic model to daily cases of COVID-19 reported during the 2021-2022 Omicron surge in New York City: A novel approach.

Harris J Stat Methods Med Res. 2024; 33(10):1877-1898.

PMID: 39559983 PMC: 11577707. DOI: 10.1177/09622802241277956.


How cultural innovations trigger the emergence of new pathogens.

Pooladvand P, Kendal J, Tanaka M Proc Natl Acad Sci U S A. 2024; 121(48):e2322882121.

PMID: 39556748 PMC: 11621466. DOI: 10.1073/pnas.2322882121.


A unified stochastic SIR model driven by Lévy noise with time-dependency.

Easlick T, Sun W Adv Contin Discret Model. 2024; 2024(1):22.

PMID: 39027117 PMC: 11252215. DOI: 10.1186/s13662-024-03818-3.


References
1.
Brauer F, Watmough J . Age of infection epidemic models with heterogeneous mixing. J Biol Dyn. 2012; 3(2-3):324-30. DOI: 10.1080/17513750802415822. View

2.
Newman M . Spread of epidemic disease on networks. Phys Rev E Stat Nonlin Soft Matter Phys. 2002; 66(1 Pt 2):016128. DOI: 10.1103/PhysRevE.66.016128. View

3.
Hethcote H . An age-structured model for pertussis transmission. Math Biosci. 1997; 145(2):89-136. DOI: 10.1016/s0025-5564(97)00014-x. View

4.
Schuler-Faccini L, Ribeiro E, Feitosa I, Horovitz D, Cavalcanti D, Pessoa A . Possible Association Between Zika Virus Infection and Microcephaly - Brazil, 2015. MMWR Morb Mortal Wkly Rep. 2016; 65(3):59-62. DOI: 10.15585/mmwr.mm6503e2. View

5.
Metz J . The epidemic in a closed population with all susceptibles equally vulnerable; some results for large susceptible populations and small initial infections. Acta Biotheor. 1978; 27(1-2):75-123. DOI: 10.1007/BF00048405. View