Coupling and Synchronization of HIV/AIDS Fisher folk Metapopulations
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 fisher-folk 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 synchronization manifold. The 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 disease dynamics.
Jesse, M., et al., A fully coupled, mechanistic model for infectious disease dynamics in a metapopulation: movement and epidemic duration. Journal of theoretical biology, 2008. 254(2): p. 331-338.
Allen, L.J., et al., Mathematical epidemiology. Vol. 1945. 2008: Springer.
Olsen, L.F., G.L. Truty, and W.M. Schaffer, Oscillations and chaos in epidemics: a nonlinear dynamic study of six childhood diseases in Copenha-gen, Denmark. Theoretical population biology, 1988. 33(3): p. 344-370.
Murray, J.D., Mathematical biology: I. An introduction. Vol. 17. 2007: Springer Science & Business Media.
Keeling, M.J. and P. Rohani, Modeling infectious diseases in humans and animals. 2011: Princeton University Press.
Strogatz, S., H and R. Mirollo, E, Synchronization of Pulse-Coupled Biological Oscillators. SIAM J APPL MATHS, 1990. 8(6): p. 1645 - 1662.
Wasike, A.A. and K. Rotich, Synchronization and persistence in Diffusively Coupled Lattice Oscillators. 2007.
Control, C.f.D. and Prevention, Epidemiology of HIV/AIDS--united states, 1981-2005. MMWR. Morbidity and mortality weekly report, 2006. 55(21): p. 589-592.
Abu-Radded, L., Dual infection with HIV and malaria fuels the spread of both diseases in sub-Saharan Africa. Science, 2007. 315(5812): p. 598.
WHO, W.H.O., 2008 Report on the Global AIDS Epidemic. 2008: World Health Organization.
Kissling, E., et al., Fisherfolk are among groups most at risk of HIV: cross-country analysis of prevalence and numbers infected. Aids, 2005. 19(17): p. 1939-1946.
Olowosegun, T., et al., Sexuality and HIV/AIDS among Fisher folks in Kainji Lake Basin. Global Journal of Medical Research Diseases, 2013. 13(2): p. 4-18.
Tanzarn, N. and C. Bishop-Sambrook, The dynamics of HIV/AIDS in small-scale fishing communities in Uganda. Rome, Italy: HIV/AIDS Pro-gramme, Food and Agriculture Organization (FAO) of the United Nations, 2003.
Kamali, A., et al., Heterogeneity of HIV incidence: a comparative analysis between fishing communities and in a neighbouring rural general popula-tion, Uganda, and implications for HIV control. Sexually transmitted infections, 2016. 92(6): p. 447-454.
Woodhead, A.J., et al., Health in fishing communities: A global perspective. Fish and Fisheries, 2018. 19(5): p. 839-852.
Béné, C. and S. Merten, Women and fish-for-sex: transactional sex, HIV/AIDS and gender in African fisheries. World development, 2008. 36(5): p. 875-899.
Huang, M. HIV/AIDS among fishers: vulnerability of their partners. in Global symposium on women in fisheries. 2002. ICLARM‐WorldFish Cen-ter.
Duwal, S., et al., Vulnerability of fishing communities to HIV/AIDS and impact on fish productivity in Nigeria. IOSR-JAVS, 2015. 8(2): p. 52-9.
Allison, E.H. and J.A. Seeley, HIV and AIDS among fisherfolk: a threat to ‘responsible fisheries'? Fish and fisheries, 2004. 5(3): p. 215-234.
Awuonda, M., The Voices of Dunga: Critical Study of Lake Victoria Fisherfolk and Their Perspectives on Fishery Management, Globalisation and Environmental Crises on Their Livelihoods and Local Institutions. 2003: Swedish University of Agricultural Science.
Heagy, J., T. Carroll, and L. Pecora, Synchronous chaos in coupled oscillator systems. Physical Review E, 1994. 50(3): p. 1874.
Sun, J., E.M. Bollt, and T. Nishikawa, Constructing generalized synchronization manifolds by manifold equation. SIAM Journal on Applied Dy-namical Systems, 2009. 8(1): p. 202-221.
Josic, K., Synchronization of chaotic systems and invariant manifolds. Nonlinearity, 2000. 13(4): p. 1321.
View Full Article:
Authors who publish with this journal agree to the following terms:
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under aÂ Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (SeeÂ The Effect of Open Access).