A population model for the 2017/18 listeriosis outbreak in South Africa

We introduce a compartmental model of ordinary differential equations for the population dynamics of listeriosis, and we derive a model for analysing a listeriosis outbreak. The model explicitly accommodates neonatal infections. Similarly as is common in cholera modeling, we include a compartment to...

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Veröffentlicht in:PloS one 2020-03, Vol.15 (3), p.e0229901-e0229901
Hauptverfasser: Witbooi, Peter Joseph, Africa, Charlene, Christoffels, Alan, Ahmed, Ibrahim Hussin Ibrahim
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Africa, Charlene
Christoffels, Alan
Ahmed, Ibrahim Hussin Ibrahim
description We introduce a compartmental model of ordinary differential equations for the population dynamics of listeriosis, and we derive a model for analysing a listeriosis outbreak. The model explicitly accommodates neonatal infections. Similarly as is common in cholera modeling, we include a compartment to represent the reservoir of bacteria. We also include a compartment to represent the incubation phase. For the 2017/18 listeriosis outbreak that happened in South Africa, we calculate the time pattern and intensity of the force of infection, and we determine numerical values for some of the parameters in the model. The model is calibrated using South African data, together with existing data in the open literature not necessarily from South Africa. We make projections on the future outlook of the epidemiology of the disease and the possibility of eradication.
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subjects Analysis
Applied mathematics
Bacteria
Bioinformatics
Biology and Life Sciences
Cholera
Differential equations
Disease
Diseases
Epidemics
Epidemiology
Food contamination & poisoning
Infection
Infections
Listeria
Listeriosis
Medicine and Health Sciences
Meningitis
Mortality
Mothers
Neonates
Newborn babies
Newborn infants
Ordinary differential equations
Outbreaks
Pathogens
People and places
Physical Sciences
Population
Population biology
Population dynamics
Pregnancy
Reservoirs (Water)
Sepsis
Time
Waterborne diseases
title A population model for the 2017/18 listeriosis outbreak in South Africa
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