The Mean Duration Time of Carrier-Borne Epidemics

The Mean Duration Time of Carrier-Borne Epidemics

In this paper, the two-population model for a carrier-borne epidemic posed by Bailey (The Mathematical Theory of Infectious Diseases and its Applications, 1975, p. 211) is formulated in a mathematically tractable manner. This model reflects the epidemiology of diseases such as malaria, where the pro...

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Bibliographische Detailangaben
Hauptverfasser: Conlon,Susan L, Billard,L
Format: Report
Sprache:eng
Schlagworte:
ALGORITHMS
COMPUTERIZED SIMULATION
EPIDEMIOLOGY
MALARIA
MATHEMATICAL MODELS
Mean time
Medicine and Medical Research
STATISTICAL ANALYSIS
Statistics and Probability
TIME
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Beschreibung
Zusammenfassung:In this paper, the two-population model for a carrier-borne epidemic posed by Bailey (The Mathematical Theory of Infectious Diseases and its Applications, 1975, p. 211) is formulated in a mathematically tractable manner. This model reflects the epidemiology of diseases such as malaria, where the progress of the disease depends on the interaction of a population of mosquitoes and a population of humans. An expression for the mean duration time of the epidemic is obtained and a computationally feasible algorithm is presented. Results of a study investigating the consequences on the mean duration time of varying the infection and removal rates in the two populations are given. (Author)