Zou Lan, Chen Jing, Ruan Shigui
Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China email:
Department of Mathematics, University of Miami, Coral Gables, FL 33146, United States email:
Math Biosci Eng. 2017;14(5-6):1585-1604. doi: 10.3934/mbe.2017082.
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.
在本文中,我们建立了一个数学模型来研究内脏利什曼病的传播动力学。该模型考虑了三个种群:狗、白蛉和人类。基于最近的研究,我们在疾病传播中纳入了狗的垂直传播。我们还研究了无症状人类和狗作为寄生虫的次要宿主的影响。基本再生数和敏感性分析表明,控制狗与白蛉之间的传播对于消除该疾病更为重要。易感狗的疫苗接种、感染狗的治疗以及狗的垂直传播控制是内脏利什曼病有效的防控措施。