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Modeling and analyzing the effects of seasonality on brucellosis infection

Author

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  • Lolika, Paride O.
  • Mushayabasa, Steady
  • Bhunu, Claver P.
  • Modnak, Chairat
  • Wang, Jin

Abstract

We present a mathematical model for the transmission dynamics of brucellosis that incorporates the effects of seasonality. We analyze the basic reproduction number associated with the time-periodic model and establish results on the threshold dynamics. Meanwhile, we perform an optimal control study on the use of animal vaccination and environmental decontamination as disease control measures against brucellosis infection. Our results show that seasonality plays an important role in shaping the long-term dynamics of brucellosis, which subsequently impacts the design of its optimal control strategies.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:338-349
    DOI: 10.1016/j.chaos.2017.08.027
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    Cited by:

    1. Cyrille Kenne & Gisèle Mophou & René Dorville & Pascal Zongo, 2022. "A Model for Brucellosis Disease Incorporating Age of Infection and Waning Immunity," Mathematics, MDPI, vol. 10(4), pages 1-19, February.
    2. 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.
    3. Gashirai, Tinashe B. & Musekwa-Hove, Senelani D. & Lolika, Paride O. & Mushayabasa, Steady, 2020. "Global stability and optimal control analysis of a foot-and-mouth disease model with vaccine failure and environmental transmission," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).

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