Modelling and Optimal Control of Typhoid Fever Disease with Cost-Effective Strategies.

ABSTRACT: We propose and analyze a compartmental nonlinear deterministic mathematical model for the typhoid fever outbreak and optimal control strategies in a community with varying population. The model is studied qualitatively using stability theory of differential equations and the basic reproductive number that represents the epidemic indicator is obtained from the largest eigenvalue of the next-generation matrix. Both local and global asymptotic stability conditions for disease-free and endemic equilibria are determined. The model exhibits a forward transcritical bifurcation and the sensitivity analysis is performed. The optimal control problem is designed by applying Pontryagin maximum principle with three control strategies, namely, the prevention strategy through sanitation, proper hygiene,

SUBMITTER: Tilahun GT 

PROVIDER: S-EPMC5610837 | biostudies-literature | 2017

REPOSITORIES: biostudies-literature