Impact of Chemo-therapy on Optimal Control of Malaria Disease with Infected Immigrants

被引：104

作者：

Makinde, O. D. ^{[1
]}

Okosun, K. O. ^{[1
]}

机构：

[1] Cape Peninsula Univ Technol, Inst Adv Res Math Modelling & Computat, ZA-8000 Cape Town, South Africa

来源：

BIOSYSTEMS | 2011年 / 104卷 / 01期

关键词：

Malaria; Stability; Infected immigrants; Optimal control; TRANSMISSION DYNAMICS; MATHEMATICAL-ANALYSIS; HIV; MODELS;

D O I：

10.1016/j.biosystems.2010.12.010

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We derived and analyzed rigorously a mathematical model that describes the dynamics of malaria infection with the recruitment of infected immigrants, treatment of infectives and spray of insecticides against mosquitoes in the population. Both qualitative and quantitative analysis of the deterministic model are performed with respect to stability of the disease free and endemic equilibria. It is found that in the absence of infected immigrants disease-free equilibrium is achievable and is locally asymptotically stable. Using Pontryagin's Maximum Principle, the optimal strategies for disease control are established. Finally, numerical simulations are performed to illustrate the analytical results. (C) 2011 Elsevier Ireland Ltd. All rights reserved.

引用

页码：32 / 41

页数：10

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