Eminugroho Ratna Sari, Nur Insani, Dwi Lestari
Behaviour analysis for host-vector model without control of dengue disease is based on the value of basic reproduction number obtained using next generation matrices. Furthermore, the model is further developed involving a preventive control to minimize the contact between host and vector. The purpose is to obtain an optimal preventive strategy with minimal cost. The Pontryagin Minimum Principal is used to find the optimal control analytically. The derived optimality model is then solved numerically to investigate control effort to reduce infected class. © Published under licence by IOP Publishing Ltd.
Mathematics Education Department, Mathematics and Natural Sciences Faculty, Yogyakarta State University, Indonesia
