Optimal control of a vector borne disease with horizontal transmission |
| |
Authors: | Abid Ali Lashari Gul Zaman |
| |
Institution: | a Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, H-12, Islamabad, Pakistanb Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pukhtoonkhwa, Pakistan |
| |
Abstract: | The paper presents the optimal control applied to a vector borne disease with direct transmission in host population. First, we show the existence of the control problem and then use both analytical and numerical techniques to investigate that there are cost effective control efforts for prevention of direct and indirect transmission of disease. In order to do this three control functions are used, one for vector-reduction strategies and the other two for personal (human) protection and blood screening, respectively. We completely characterize the optimal control and compute the numerical solution of the optimality system using an iterative method. |
| |
Keywords: | Epidemic model Optimal control Pontryagin&rsquo s Maximum Principle Numerical simulation |
本文献已被 ScienceDirect 等数据库收录! |
|