Coupling and synchronization of HIV/AIDS fisher folk metapopulations

  • Authors

    • Jacob Chepkwony University of Eldoret P.O. Box 1125, ELDORET
    • Titus Rotich Moi UniversityP.O. BOX 3900 - 30100ELDORET - KENYA
    • Robert Lagat South Eastern University, P.O. Box 170, KITUI
    • Jacob Bittok University of Eldoret P.O. Box 1125, ELDORET
    2024-10-31
    https://doi.org/10.14419/mkx4pe95
  • Metapopulation; Synchronization; All-To-All Coupling; Invariant Manifold; Stability; Robustness; Perturbation.

  • Abstract

    The study of epidemiology is often done with an assumption that the population is homogeneously mixed, and the disease dynamics is uniform. However, this is not always true, and cultural beliefs and economic activities significantly contribute to segregation not necessarily in spatial dimension but on the way of life. In this study, the dynamics of HIV/AIDS is studied in four distinct fisherfolk population patches, both individually and under all-to-all diffusive coupling. It was found that, the dynamics of each patch is periodic, and there exist an attracting invariant stable manifold. The synchronization manifold of the coupled system displayed robustness under small perturbation, even with a small coupling strength of k≪1. This guarantees uniformity of long term metapopulation dynamics.

    Author Biography

    • Titus Rotich, Moi UniversityP.O. BOX 3900 - 30100ELDORET - KENYA

      Head of Subject

      Mathematics Department

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  • How to Cite

    Chepkwony, J., Rotich, T., Lagat, R., & Bittok, J. (2024). Coupling and synchronization of HIV/AIDS fisher folk metapopulations. International Journal of Applied Mathematical Research, 13(2), 103-109. https://doi.org/10.14419/mkx4pe95

    Received date: 2022-08-29

    Accepted date: 2022-10-04

    Published date: 2024-10-31