Multi-objective optimal control of tungiasis diseases with terminal demands  

作　　者：Wei Lv Si-Ting Zhang Lei Wang 

机构地区：[1]Department of Mathematics,Shanghai University Shanghai200444,P.R.China [2]Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province Dalian University of Technology,Dalian 116024,P.R.China [3]Department of Mathematics,School of Science Shihezi University,Shihezi 832003,P.R.China

出　　处：《International Journal of Biomathematics》2024年第3期123-151,共29页生物数学学报（英文版）

基　　金：supported by Science and Technology Commission of Shanghai Municipality under Grant No.21692106500;the Fundamental Research Funds for the Central Universities under Grant No.DUT20YG125。

摘　　要：In this paper,we aim to minimize the epidemic size of tungiasis disease and economic costs simultaneously,with terminal demands for infected humans.A human-jigger parasite control system with four control schemes for humans and jiggers is established.We propose a multi-objective optimal control problem with terminal constraints,in which the accumulated number of infected humans and control costs are involved.By applying the modified normal boundary intersection algorithm and the interior point scheme,numerical simulations for different combinations of control schemes are carried out,and actual data in Madagascar are used.Effective combination schemes are indicated from the perspectives of disease eradication,cost saving and time saving.Once these effective combinations are properly performed,the disease can be controlled.When only minimizing the epidemic size,the combination of the optimal treatments and adulticiding efforts is the best choice in the rainy season;the combination of the optimal personal protections and treatments is the preferential option in the dry season.When only minimizing the economical cost,the combination of the optimal adulticide and larvicide is the better selection in the rainy season;the combination of the optimal personal protections,treatments and adulticiding efforts is the prior choose in the dry season.Thus,there is a trade-off between the two objectives for all the effective combinations,decision-makers may choose an appropriate one to control the disease.

关 键 词：Multi-objective optimal control terminal demand control combination tun-giasis disease 

分 类 号：Q141[生物学—生态学]