Dynamical analysis and control strategies in modeling anthrax

Dynamical analysis and control strategies in modeling anthrax Anthrax is an acute infectious disease caused by the spore-forming bacterium Bacillus anthracis. It occurs most frequently as a disease of herbivores (e.g., cattle, goats and sheep) that acquire spores from direct contact with contaminated soil. In this paper, we formulate a new mathematical modeling framework to explore the spread of anthrax in the community. Our models include essential components such as fast and slow progression, carcass disposal and vector population. The existence of the disease-free equilibrium is discussed, the basic reproduction number is calculated, and the effect of carcass disposal on the basic reproduction number is studied. Our results suggest that carcass disposal may significantly reduce the spread of anthrax. Carcass disposal targeted at 85 % or more can be effective at stopping the spread of anthrax in the community. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational and Applied Mathematics Springer Journals

Dynamical analysis and control strategies in modeling anthrax

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Publisher
Springer International Publishing
Copyright
Copyright © 2015 by SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional
Subject
Mathematics; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science
ISSN
0101-8205
eISSN
1807-0302
D.O.I.
10.1007/s40314-015-0297-1
Publisher site
See Article on Publisher Site

Abstract

Anthrax is an acute infectious disease caused by the spore-forming bacterium Bacillus anthracis. It occurs most frequently as a disease of herbivores (e.g., cattle, goats and sheep) that acquire spores from direct contact with contaminated soil. In this paper, we formulate a new mathematical modeling framework to explore the spread of anthrax in the community. Our models include essential components such as fast and slow progression, carcass disposal and vector population. The existence of the disease-free equilibrium is discussed, the basic reproduction number is calculated, and the effect of carcass disposal on the basic reproduction number is studied. Our results suggest that carcass disposal may significantly reduce the spread of anthrax. Carcass disposal targeted at 85 % or more can be effective at stopping the spread of anthrax in the community.

Journal

Computational and Applied MathematicsSpringer Journals

Published: Nov 20, 2015

References

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