Journal article
Effectiveness of control and preventive measures influenced by pathogen trait evolution: Example of Escherichia coli O157:H7
Journal of computational and applied mathematics, Vol.362, pp.366-382
12/15/2019
Handle:
https://hdl.handle.net/2376/116195
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.
Metrics
9 Record Views
Details
- Title
- Effectiveness of control and preventive measures influenced by pathogen trait evolution: Example of Escherichia coli O157:H7
- Creators
- Majid Bani-Yaghoub - Department of Mathematics and Statistics, University of Missouri-Kansas City, Kansas City, MO 64110-2499, USAXueying Wang - Department of Mathematics, Washington State University, Pullman, WA 99164, USAPatrick O Pithua - Department of Veterinary Medicine and Surgery, Veterinary Medicine Teaching Hospital, College of Veterinary Medicine, University of Missouri, Columbia, MO 65211, USASharif S Aly - Veterinary Medicine Teaching and Research Center, School of Veterinary Medicine, University of California, Davis, CA 93274, USA
- Publication Details
- Journal of computational and applied mathematics, Vol.362, pp.366-382
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Elsevier B.V
- Identifiers
- 99900548259401842
- Language
- English
- Resource Type
- Journal article