Optimal Control and Cost Effectiveness Analysis of SIRS Malaria Disease Model with Temperature Variability Factor

In this study, we proposed and analyzed the optimal control cost-effectiveness strategies for malaria epidemics model with impact of temperature variability. Temperature variability strongly determines transmission malaria. Firstly, proved that all solutions are positive bounded within a certain set initial conditions. Using next-generation matrix method, basic reproductive number at present malaria-free equilibrium point was computed. The local stability global were depicted applying Jacobian Lyapunov function respectively when is smaller than one. However, endemic occurs greater unity. A sensitivity analysis parameters conducted; showed forward backward bifurcation. Secondly, using Pontryagin’s maximum principle, interventions disease reduction described involving three measures, namely use insecticide-treated bed nets, treatment infected humans anti-malarial drugs, indoor residual insecticide spraying. An also conducted. Finally, based on simulation different strategies, combination spraying to be most efficient least costly strategy eradicate disease.