MATHEMATICAL ANALYSIS OF CHOLERA EPIDEMIC MODEL WITH SEASONALITY
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Summary
A mathematical analysis of the cholera model proposed in (20) in the case of non periodic and periodic contact rate �(t) is conducted and it is shown that there is always a globally asymptotically stable equilib- rium state.
- Type
- article
- Published
- 2013-01-01
- Cited by
- 4
- References
- 25
- OpenAlex
- https://openalex.org/W2184714541
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:35031859
Keywords
Cholera, Basic reproduction number, Stability (learning theory), Applied mathematics, Stability theory
References
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- On a Nonautonomous SEIRS Model in Epidemiology
- Preliminary evidence for human fecal contamination in corals of the Florida Keys, USA.
- Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments
- Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.
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- Epidemic threshold conditions for seasonally forced seir models.
Cited by
- Mathematical modeling of the migration's effect and analysis of the spreading of a cholera epidemic
- Mathematical analysis and optimal control of a cholera epidemic in different human communities with individuals’ migration
- Analysis of a temperature-dependent model for water-borne disease transmission dynamics
- Congruity of genomic and epidemiological data in modelling of local cholera outbreaks
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