OPTIMAL CONTROL OF VECTOR-BORNE DISEASES: TREATMENT AND PREVENTION

被引：134

作者：

Blayneh, Kbenesh ^{[1
]}

Cao, Yanzhao ^{[2
]}

Kwon, Hee-Dae ^{[3
]}

机构：

[1] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA

[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

[3] Inha Univ, Dept Math, Inchon 402751, South Korea

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 11卷 / 03期

关键词：

Optimal Control; Autonomous; Disease-free; Numerical Simulation; MATHEMATICAL-MODEL; HIV;

D O I：

10.3934/dcdsb.2009.11.587

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the dynamics of a vector-transmitted disease using two deterministic models. First, we look at time dependent prevention and treatment efforts, where optimal control theory is applied. Using analytical and numerical techniques, it is shown that there are cost effective control efforts for treatment of hosts and prevention of host-vector contacts. Then, we considered the autonomous counter part of the mode and we established global stability results based on the reproductive number. The model is applied to study the effects of prevention and treatment controls on a malaria disease while keeping the implementation cost at a minimum. Numerical results indicate the effects of the two controls (prevention and treatment) in lowering exposed and infected members of each of the populations. The study also highlights the effects of some model parameters on the results.

引用

页码：587 / 611

页数：25