Persistence and spread of gastro-intestinal infections: the case of enterotoxigenic Escherichia coli in piglets

Bulletin of Mathematical Biology
Barbara Boldin

Abstract

Several gastro-intestinal infections in animal husbandry not only greatly reduce the well-being of animals, but also have the potential to cause large economical damage. Understanding of the dynamics of such diseases is thus of great importance. In this paper, we focus on within-host dynamics and present a model describing the dynamics of pathogens in the intestine of a single host. Our motivation to study the problem stems from the case of enterotoxigenic Escherichia coli in newly weaned piglets, but the models we present offer an acceptable description of within-host dynamics of several other gastro-intestinal infections. We begin by studying the case where infection is a one-time event and derive an explicit expression for the distribution of pathogens inside the intestine at an arbitrary time after the infection took place. Since farm animals often come into contact with faeces, we furthermore investigate the reinfection case, in which a fraction of the shed pathogens is reintroduced into the intestine. We find the condition that guarantees persistence of colonization in the reinfection case and determine when the microbial distribution in the intestine obeys the so called asynchronous exponential growth. We outline possibi...Continue Reading

References

May 8, 1999·Mathematical Biosciences·M Ballyk, H Smith
Mar 5, 2004·Journal of Veterinary Medicine. B, Infectious Diseases and Veterinary Public Health·L MelinP Wallgren
Jan 15, 2005·Theoretical Population Biology·E PachepskyM A Lewis
Sep 6, 2005·Veterinary Microbiology·Lone CarstensenJens Peter Nielsen

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Citations

Dec 2, 2011·Bulletin of Mathematical Biology·Alma Mašić, Hermann J Eberl
Dec 18, 2013·International Journal of Molecular Sciences·Chen ZiWenbin Bao
Oct 18, 2013·Journal of Mathematical Biology·Yuan Lou, Frithjof Lutscher
Sep 18, 2015·Journal of Mathematical Biology·Olga VasilyevaMark Lewis
Oct 7, 2017·Bulletin of Mathematical Biology·Yu JinYuan Pei
Apr 25, 2012·Bulletin of Mathematical Biology·Yasmine Samia, Frithjof Lutscher
Dec 1, 2012·Bulletin of Mathematical Biology·Olga Vasilyeva, Frithjof Lutscher
Oct 5, 2017·Bulletin of Mathematical Biology·Carles BarrilJordi Ripoll
Oct 26, 2018·International Journal of Molecular Sciences·Zhengchang WuWenbin Bao
Nov 19, 2020·Animals : an Open Access Journal From MDPI·Jian JinWenbin Bao

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