MODELLING OF PATHOGENS IMPACT ON THE HUMAN DISEASE TRANSMISSION WITH OPTIMAL CONTROL STRATEGIES

This study concentrates on a nonlinear deterministic mathematical model for the impact of pathogens human disease transmission with optimal control strategies. Both pathogen-free and coexistence equilibria are computed. The basic reproduction number R0, which plays vital role in epidemiology, was derived. qualitative analysis revealed scenario both together R0. local stability is established via Jacobian matrix Routh-Hurwitz criteria, while global proven by using an appropriate Lyapunov function. Also, normalized sensitivity has been performed to observe different parameters proposed extended into problem incorporating three variables, namely, preventive measure variable based separation susceptible from contacting pathogens, integrated vector management chemical, biological control, ... etc. kill their carriers, supporting infective medication care infected individual quarantine center. Optimal examined Pontryagin minimum principle. Numerical simulations depending analytical results discussed quantitatively.