Mathematical analysis of the dynamics of visceral leishmaniasis in the Sudan

被引：35
|
作者：
ELmojtaba, Ibrahim M. [2 ]
Mugisha, J. Y. T. [1 ]
Hashim, Mohsin H. A. [2 ]
机构：
[1] Makerere Univ, Dept Math, Kampala, Uganda
[2] Univ Khartoum, Fac Math Sci, Khartoum, Sudan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 06期
关键词：
Visceral leishmaniasis; PKDL; Animal reservoir; Sandfly; Basic reproduction number; AMERICAN CUTANEOUS LEISHMANIASIS; KALA-AZAR; MODEL; TRANSMISSION; THRESHOLD; INFECTION; DISEASES; CLIMATE; VACCINE; NUMBER;
D O I：
10.1016/j.amc.2010.07.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we develop a mathematical model to study the dynamics of visceral leishmaniasis in the Sudan. To develop this model we consider the dynamics of the disease between three different populations, human, reservoir and vector populations. The model is analyzed at equilibrium and the stability of the equilibria is analyzed. The basic reproduction number is derived, and the threshold conditions for disease elimination established. Results show that the disease can be eliminated under certain conditions. Simulations of the model show that human treatment helps in disease control, and its synergy with vector control will more likely result in the elimination of the disease. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2567 / 2578
页数：12
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