Abstract
In this paper we study the dynamics of a vector-transmitted disease using two deterministic models. First, we look at time dependent prevention and treatment efforts, where optimal control theory is applied. Using analytical and numerical techniques, it is shown that there are cost effective control efforts for treatment of hosts and prevention of host-vector contacts. Then, we considered the autonomous counter part of the mode and we established global stability results based on the reproductive number. The model is applied to study the effects of prevention and treatment controls on a malaria disease while keeping the implementation cost at a minimum. Numerical results indicate the effects of the two controls (prevention and treatment) in lowering exposed and infected members of each of the populations. The study also highlights the effects of some model parameters on the results.
Highlights
Vector-borne diseases have been and are among the leading causes of death that remain challenges for many countries in the world, claiming lives of millions of people every year
The model considered in this paper is tested with data taken from a malaria disease of a single strain
The parameters used in solving the optimality system are estimates of data from malaria [28]-[31] as summarized in Table 1 which is presented at the end of this section
Summary
Vector-borne diseases have been and are among the leading causes of death that remain challenges for many countries in the world, claiming lives of millions of people every year. 2. A Model for Optimal Control of Vector-Borne Diseases. Together with the mathematical model described by equation (1), we consider an optimal control problem with the objective (cost) functional given by
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
