Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control скачать в хорошем качестве

Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control

By Cheryl Mentuda (U. Picardie Jules Verne) Abstract: Dengue is the most common mosquito-borne viral infection transmitted disease. It is due to the four types of viruses (DENV-1, DENV-2, DENV-3, DENV-4), which transmit through the bite of infected Aedes aegypti and Aedes albopictus female mosquitoes during the daytime. The ˝rst globally commercialized vaccine is Dengvaxia, also known as the CYD-TDV vaccine, manufactured by Sanofi Pasteur. This paper presents a Ross-type epidemic model to describe the vaccine interaction between humans and mosquitoes using an entomological mosquito growth population and constant human population. Af-ter establishing the basic reproduction number R0, we present three control strategies : vaccination, vector control, and the combination of vaccination and vector control. We use Pontryagin's minimum principle to characterize optimal control and apply numeri-cal simulations to determine which strategies best suit each compartment. Results show that vector control requires shorter time applications in minimizing mosquito populations. Whereas vaccinating the primary susceptible human population requires a shorter time compared to the secondary susceptible human. ---------------------------------- Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS http://www.ihp.fr/