10(cell.ml-1 day=1person-1)

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10(cell.ml-1 day=1person-1) Table 1. Description of Model Parameters and Variables Parameter Description Value Source Π Human recruitment rate 9.13×10=5 (day=1) [8] βh Human-to-human transmission rate 0.02 (day=1) βe Environment-to-human transmission rate 0.214 (day=1) µ Natural death rate 0.033 (day=1) Assumed ν Vaccination rate 0.07 (day=1) ɣ Quarantine rate 0.005 (day=1) δ1 Disease induced death rates (infected) 0.015 (day=1) [14] δ2 Disease induced death rates (Quarantined) 0.0001 (day=1) η Recovery rate 0.2 (day=1) [15] k Concentration rate 106 (cell.ml-1) є Shedding rate 10(cell.ml-1 day=1person-1) c Sanitation rate 0.33 (day=1) S(0) Susceptible at time, t = 0 10000 (persons) I(0) Infected at time, t = 0 2000 (persons) Q(0) Quarantined at time, t = 0 0 (persons) R(0) Recovered at time, t = 0 B(0) Concentration of V.cholerae at time, t = 0 300 ×103(cell.ml-1) Nneamaka Judith Ezeagu et al. Modeling and Analysis of Cholera Dynamics with Vaccination. American Journal of Applied Mathematics and Statistics, 2019, Vol. 7, No. 1, 1-8. doi:10.12691/ajams-7-1-1 © The Author(s) 2018. Published by Science and Education Publishing.