MODELING AND ANALYZING THE TRANSMISSION DYNAMICS OF VISCERAL LEISHMANIASIS

被引:18
作者
Zou, Lan [1 ]
Chen, Jing [2 ]
Ruan, Shigui [2 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[2] Univ Miami, Dept Math, Coral Gables, FL 33146 USA
基金
中国国家自然科学基金;
关键词
Visceral leishmaniasis; mathematical modeling; reservoir; vertical transmission; basic reproduction number; INFANTUM INFECTION; CHAGASI; SKIN;
D O I
10.3934/mbe.2017082
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandflies and humans, are considered in the model. Based on recent studies, we include vertical transmission of dogs in the spread of the disease. We also investigate the impact of asymptomatic humans and dogs as secondary reservoirs of the parasites. The basic reproduction number and sensitivity analysis show that the control of dog-sandfly transmission is more important for the elimination of the disease. Vaccination of susceptible dogs, treatment of infective dogs, as well as control of vertical transmission in dogs are effective prevention and control measures for visceral leishmaniasis.
引用
收藏
页码:1585 / 1604
页数:20
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