Effectiveness of control and preventive measures influenced by pathogen trait evolution

Example of Escherichia coli O157:H7

Majid Bani-Yaghoub, Xueying Wang, Patrick O. Pithua, Sharif S Aly

Research output: Contribution to journalArticle

Abstract

The main goal of the present work is to reassess the effectiveness of environmental decontamination (ED) and antimicrobial drug administration (ADA) by taking into account pathogen trait evolution within and between the hosts. To achieve this goal, we construct a multi-strain disease transmission model with cross immunity and intermittent shedding, where transmission occurs via environmental and host reservoirs. The ecology of infection is investigated by establishing conditions for stability and existence of equilibria. Using the stability results, it is demonstrated that pathogen trait evolution neutralizes or diminishes the effectiveness of ADA and ED. Specifically, first the model is fitted to the prevalence data of Escherichia coli O157:H7 on a dairy farm. Then the effectiveness of ADA and ED is explored under four hypothesized cases of pathogen trait evolution. It is shown that excessive implementation of ADA or ED can result in pathogen traits capable of destabilizing the disease free equilibrium and establishing stable multi-strain or single-strain endemic equilibria.

Original languageEnglish (US)
JournalJournal of Computational and Applied Mathematics
DOIs
StateAccepted/In press - Jan 1 2018

Fingerprint

Decontamination
Pathogens
Escherichia coli
Escherichia Coli
Drugs
Dairies
Ecology
Endemic Equilibrium
Farms
Immunity
Infection
Model

Keywords

  • Drug administration
  • Free-living pathogen
  • Intermittent shedding
  • Multi-strain model
  • Pathogen trait evolution

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

Effectiveness of control and preventive measures influenced by pathogen trait evolution : Example of Escherichia coli O157:H7. / Bani-Yaghoub, Majid; Wang, Xueying; Pithua, Patrick O.; Aly, Sharif S.

In: Journal of Computational and Applied Mathematics, 01.01.2018.

Research output: Contribution to journalArticle

@article{d93d718b89974ed6bf57246952233c3b,
title = "Effectiveness of control and preventive measures influenced by pathogen trait evolution: Example of Escherichia coli O157:H7",
abstract = "The main goal of the present work is to reassess the effectiveness of environmental decontamination (ED) and antimicrobial drug administration (ADA) by taking into account pathogen trait evolution within and between the hosts. To achieve this goal, we construct a multi-strain disease transmission model with cross immunity and intermittent shedding, where transmission occurs via environmental and host reservoirs. The ecology of infection is investigated by establishing conditions for stability and existence of equilibria. Using the stability results, it is demonstrated that pathogen trait evolution neutralizes or diminishes the effectiveness of ADA and ED. Specifically, first the model is fitted to the prevalence data of Escherichia coli O157:H7 on a dairy farm. Then the effectiveness of ADA and ED is explored under four hypothesized cases of pathogen trait evolution. It is shown that excessive implementation of ADA or ED can result in pathogen traits capable of destabilizing the disease free equilibrium and establishing stable multi-strain or single-strain endemic equilibria.",
keywords = "Drug administration, Free-living pathogen, Intermittent shedding, Multi-strain model, Pathogen trait evolution",
author = "Majid Bani-Yaghoub and Xueying Wang and Pithua, {Patrick O.} and Aly, {Sharif S}",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.cam.2018.09.008",
language = "English (US)",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",

}

TY - JOUR

T1 - Effectiveness of control and preventive measures influenced by pathogen trait evolution

T2 - Example of Escherichia coli O157:H7

AU - Bani-Yaghoub, Majid

AU - Wang, Xueying

AU - Pithua, Patrick O.

AU - Aly, Sharif S

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The main goal of the present work is to reassess the effectiveness of environmental decontamination (ED) and antimicrobial drug administration (ADA) by taking into account pathogen trait evolution within and between the hosts. To achieve this goal, we construct a multi-strain disease transmission model with cross immunity and intermittent shedding, where transmission occurs via environmental and host reservoirs. The ecology of infection is investigated by establishing conditions for stability and existence of equilibria. Using the stability results, it is demonstrated that pathogen trait evolution neutralizes or diminishes the effectiveness of ADA and ED. Specifically, first the model is fitted to the prevalence data of Escherichia coli O157:H7 on a dairy farm. Then the effectiveness of ADA and ED is explored under four hypothesized cases of pathogen trait evolution. It is shown that excessive implementation of ADA or ED can result in pathogen traits capable of destabilizing the disease free equilibrium and establishing stable multi-strain or single-strain endemic equilibria.

AB - The main goal of the present work is to reassess the effectiveness of environmental decontamination (ED) and antimicrobial drug administration (ADA) by taking into account pathogen trait evolution within and between the hosts. To achieve this goal, we construct a multi-strain disease transmission model with cross immunity and intermittent shedding, where transmission occurs via environmental and host reservoirs. The ecology of infection is investigated by establishing conditions for stability and existence of equilibria. Using the stability results, it is demonstrated that pathogen trait evolution neutralizes or diminishes the effectiveness of ADA and ED. Specifically, first the model is fitted to the prevalence data of Escherichia coli O157:H7 on a dairy farm. Then the effectiveness of ADA and ED is explored under four hypothesized cases of pathogen trait evolution. It is shown that excessive implementation of ADA or ED can result in pathogen traits capable of destabilizing the disease free equilibrium and establishing stable multi-strain or single-strain endemic equilibria.

KW - Drug administration

KW - Free-living pathogen

KW - Intermittent shedding

KW - Multi-strain model

KW - Pathogen trait evolution

UR - http://www.scopus.com/inward/record.url?scp=85057865296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057865296&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2018.09.008

DO - 10.1016/j.cam.2018.09.008

M3 - Article

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

ER -