Universidad de los Andes, Bogotá, Colombia.
Bull Math Biol. 2019 Nov;81(11):4470-4483. doi: 10.1007/s11538-018-00543-3. Epub 2018 Dec 7.
In this paper, we propose a method to study a general vector-host mathematical model in order to explain how the changes in biodiversity could influence the dynamics of vector-borne diseases. We find that under the assumption of frequency-dependent transmission, i.e., the assumption that the number of contacts is diluted by the total population of hosts, the presence of a competent host is a necessary condition for the existence of an endemic state. In addition, we obtain that in the case of an endemic disease with a unique competent and resilient host, an increase in its density amplifies the disease.
在本文中，我们提出了一种研究广义向量-宿主数学模型的方法，以解释生物多样性的变化如何影响媒介传播疾病的动态。我们发现，在频率依赖传播的假设下，即假设接触的数量因宿主的总种群而稀释，有能力的宿主的存在是地方病状态存在的必要条件。此外，我们还得到，在具有唯一有能力和有弹性的宿主的地方病的情况下，其密度的增加会放大疾病。
