Modeling the intrinsic dynamics of foot-and-mouth disease
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Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Harare
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NSF Center for Integrated Pest Management, NC State University, Raleigh, NC 27606
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Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403
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Received:
01 April 2015
Accepted:
29 June 2018
Published:
25 December 2015
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MSC :
92B05, 93A30, 93C15.
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We propose a new mathematical modeling framework to investigate the transmission and spread of foot-and-mouth disease. Our models incorporate relevant biological and ecological factors, vaccination effects, and seasonal impacts during the complex interaction among susceptible, vaccinated, exposed, infected, carrier, and recovered animals. We conduct both epidemic and endemic analysis, with a focus on the threshold dynamics characterized by the basic reproduction numbers. In addition, numerical simulation results are presented to demonstrate the analytical findings.
Citation: Steady Mushayabasa, Drew Posny, Jin Wang. Modeling the intrinsic dynamics of foot-and-mouth disease[J]. Mathematical Biosciences and Engineering, 2016, 13(2): 425-442. doi: 10.3934/mbe.2015010
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Abstract
We propose a new mathematical modeling framework to investigate the transmission and spread of foot-and-mouth disease. Our models incorporate relevant biological and ecological factors, vaccination effects, and seasonal impacts during the complex interaction among susceptible, vaccinated, exposed, infected, carrier, and recovered animals. We conduct both epidemic and endemic analysis, with a focus on the threshold dynamics characterized by the basic reproduction numbers. In addition, numerical simulation results are presented to demonstrate the analytical findings.
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