Abstract
In this contribution, a sufficiently simple, yet realistic model of TB propagation and control is studied in detail. We compute the controlled basic reproduction number R0(uB, uD) for the extended model including the action of two types of controls and analyze the sensitivity of R0(uB, uD) with respect to both controls following the recently devised approach. It is shown that the computed sensitivity coefficients admit a clear epidemiological interpretation and can be used in assessing the efficacy of the respective types of intervention.
Highlights
About one quarter of the world’s population is infected with tuberculosis (TB) bacteria
There have been long-standing efforts to produce an adequate model of population level dynamics of tuberculosis
The main goal of this study is to apply the results developed in the mentioned paper to the population level dynamical model of tuberculosis and derive conclusions aimed at improving the treatment strategy
Summary
About one quarter of the world’s population is infected with tuberculosis (TB) bacteria. There have been long-standing efforts to produce an adequate model of population level dynamics of tuberculosis. We deal with the simple model of tuberculosis introduced in [5]. This model has two control parameters describing the rates of detecting infected individuals from different categories. A number of results devoted to the structural analysis of compartmental models were obtained, see, e.g., [6, 7]. The main goal of this study is to apply the results developed in the mentioned paper to the population level dynamical model of tuberculosis and derive conclusions aimed at improving the treatment strategy.
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