Optimal Campaign in Leptospirosis Epidemic by Multiple Control Variables

作     者：Muhammad Altaf Khan Gul Zaman Saeed Islam Muhammad Ikhlaq Chohan 

作者机构：Department of Business Administration and Accounting Buraimi University College Al-Buraimi Oman Department of Mathematics Abdul Wali Khan University Mardan Pakistan Department of Mathematics University of Malakand Chakdara Lower Dir District of Khyber Pakhtunkhwa Pakistan 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2012年第3卷第11期

页      面：1655-1663页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Mathematical Model Optimal Control Pontryagin’s Maximum Principle Numerical Results 

摘      要：In this paper, we consider a leptospirosis epidemic model to implement optimal campaign by using multiple control variables. First, we show the existence of the control problem. Then we derive the conditions under which it is optimal to eradicate the leptospirosis infection and examine the impact of a possible educatioal/vaccinaction campaign using Pontryagin’s Maximum Principle. We completely characterize the optimal control problem and compute the numerical solution of the optimality system using an iterative method. The results obtained from the numerical simulations of the model show that a possible educational/vaccinaction combined with effective treatment regime would reduce the spread of the leptospirosis infection appreciably.