An optimal control problem for ovine brucellosis with culling
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Date
2015
Authors
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Journal ISSN
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Publisher
Taylor & Francis
Abstract
A mathematical model is used to study the dynamics of ovine brucellosis when transmitted directly from infected individual, through contact with a contaminated environment or vertically through mother to child. The model developed by Aïnseba et al. [A model for ovine brucellosis incorporating direct and indirect transmission, J. Biol. Dyn. 4 (2010), pp. 2–11. Available at http://www.math.u-bordeaux1.fr/∼pmagal100p/papers/BBM-JBD09.pdf. Accessed 3 July 2012] was modified to include culling and then used to determine important parameters in the spread of human brucellosis using sensitivity analysis. An optimal control analysis was performed on the model to determine the best way to control such as a disease in the population. Three time-dependent controls to prevent exposure, cull the infected and reduce environmental transmission were used to set up to minimize infection at a minimum cost.
Description
Keywords
Ovine brucellosis, Optimal control;, Sensitivity analysis, Population dynamics
Citation
Nannyonga, B., Mwanga, G. G., & Luboobi, L. S. (2015). An optimal control problem for ovine brucellosis with culling. Journal of biological dynamics, 9(1), 198-214.DOI:10.1080/17513758.2015.1056845