Chaves Luis Fernando, Hernandez Maria-Josefina
Laboratorio de Biología Teórica & Postgrado en Ecología, Instituto de Zoología Tropical, Facultad de Ciencias, Universidad Central de Venezuela, Apartado Postal 47058, Caracas 1041-A, Venezuela.
Acta Trop. 2004 Nov-Dec;92(3):245-52. doi: 10.1016/j.actatropica.2004.08.004.
We present a model for the dynamics of transmission of American Cutaneous Leishmaniasis (ACL) that includes a population of incidental hosts for parasites (that is, they act only as sinks of infection), along with species that are reservoir hosts (that is, both source and sink of infection). Although, there is evidence that suggests the existence of incidental hosts for Leishmania parasites, there are no mathematical models developed to account for this. Based on this model we obtained expressions that allow computing the threshold conditions for the persistence of the infection using three different approaches. The three expressions agree in the parameters involved in the computation of the threshold, and also in the parameters that are excluded from it, which are those related to the transmission in incidental hosts. We also suggest alternatives for future development in the modelling of the dynamics of transmission of ACL, according to the needs of a more realistic, precise, or general character of the model.
我们提出了一种美国皮肤利什曼病（ACL）传播动力学模型，该模型包括寄生虫的偶然宿主群体（即它们仅作为感染的吸纳者）以及作为储存宿主的物种（即感染的源和吸纳者）。尽管有证据表明存在利什曼原虫寄生虫的偶然宿主，但尚未开发出数学模型来对此进行解释。基于该模型，我们获得了一些表达式，这些表达式允许使用三种不同方法计算感染持续存在的阈值条件。这三个表达式在阈值计算中涉及的参数以及被排除的参数方面是一致的，被排除的参数是与偶然宿主中的传播相关的参数。我们还根据对模型更现实、精确或通用特性的需求，为ACL传播动力学建模的未来发展提出了替代方案。
