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Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays

Author

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  • Paride O. Lolika
  • Steady Mushayabasa

Abstract

We present a mathematical model for brucellosis transmission that incorporates two discrete delays and culling of infected animals displaying signs of brucellosis infection. The first delay represents the incubation period while the second account for the time needed to detect and cull infectious animals. Feasibility and stability of the model steady states have been determined analytically and numerically. Further, the occurrence of Hopf bifurcation has been established. Overall the findings from the study, both analytical and numerical, suggest that the two delays can destabilize the system and periodic solutions can arise through Hopf bifurcation.

Suggested Citation

  • Paride O. Lolika & Steady Mushayabasa, 2018. "Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-20, August.
    • Handle: RePEc:hin:jnddns:6456107
    DOI: 10.1155/2018/6456107
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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.

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