Current Volume 9
A Mathematical Model for Malaria Transmission Dynamics with Vaccination as a Control Variable in Children Under Five Years of Age
Abstract
Malaria remains a major public health challenge for children under five years in sub-Saharan Africa. This paper develops an age structured SVIRSI compartmental model to simulate malaria transmission dynamics with RTS,S/AS01 vaccination as a control variable for children under five years in Bungoma County, Kenya. The model incorporates vaccination rate, vaccine efficacy, waning immunity, and mosquito control. The effective reproduction number R_e is derived via the next-generation matrix method. Positivity, boundedness, existence, uniqueness, local and global stability of the disease-free equilibrium are established. Sensitivity analysis identifies the most influential parameters. Bifurcation analysis reveals backward bifurcation. Numerical simulations using the fourth-order Runge-Kutta method confirm theoretical results. The computed R_e=0.00157<1 indicates that the current vaccination programme is sufficient for malaria elimination.
Keywords
Age Structured Model, Vaccine Efficacy, Vaccination, Effective Reproduction Number, Numerical Simulations
Citations
IRE Journals:
Opicho Dominic Simiyu, Bonface Kwach, Robert Nyukuri "A Mathematical Model for Malaria Transmission Dynamics with Vaccination as a Control Variable in Children Under Five Years of Age" Iconic Research And Engineering Journals Volume 9 Issue 11 2026 Page 3456-3463 https://doi.org/10.64388/IREV9I11-1718271
IEEE:
Opicho Dominic Simiyu, Bonface Kwach, Robert Nyukuri
"A Mathematical Model for Malaria Transmission Dynamics with Vaccination as a Control Variable in Children Under Five Years of Age" Iconic Research And Engineering Journals, 9(11) https://doi.org/10.64388/IREV9I11-1718271
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