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

Author

Listed:
  • Paride O. Lolika

    (Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Harare, Zimbabwe
    Department of Mathematics, University of Juba, P.O. Box 82 Juba, Central Equatoria, Sudan)

  • Steady Mushayabasa

    (Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Harare, Zimbabwe)

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.

Suggested Citation

  • Paride O. Lolika & Steady Mushayabasa, 2018. "On the Role of Short-Term Animal Movements on the Persistence of Brucellosis," Mathematics, MDPI, vol. 6(9), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:154-:d:167696
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    References listed on IDEAS

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    1. Lolika, Paride O. & Mushayabasa, Steady & Bhunu, Claver P. & Modnak, Chairat & Wang, Jin, 2017. "Modeling and analyzing the effects of seasonality on brucellosis infection," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 338-349.
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