On the Role of Short-Term Animal Movements on the Persistence of Brucellosis

Paride O. Lolika and Steady Mushayabasa
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Paride O. Lolika: Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Harare, Zimbabwe
Steady Mushayabasa: Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Harare, Zimbabwe

Mathematics, 2018, vol. 6, issue 9, 1-18

Abstract: Short-term animal movements play an integral role in the transmission and control of zoonotic infections such as brucellosis, in communal farming zones where animal movements are highly uncontrolled. Such movements need to be incorporated in models that aim at informing animal managers effective ways to control the spread of zoonotic diseases. We developed, analyzed and simulated a two-patch mathematical model for brucellosis transmission that incorporates short-term animal mobility. We computed the basic reproduction number and demonstrated that it is a sharp threshold for disease dynamics. In particular, we demonstrated that, when the basic reproduction number is less than unity, then the disease dies out. However, if the basic reproduction number is greater than unity, the disease persists. Meanwhile, we applied optimal control theory to the proposed model with the aim of exploring the cost-effectiveness of different culling strategies. The results demonstrate that animal mobility plays an important role in shaping optimal control strategy.

Keywords: brucellosis; residence time; animal mobility; optimal control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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