Dickman Adriana Gomes, Dickman Ronald
Programa de Pós-graduação em Ensino de Ciências e Matemática, Pontifícia Universidade Católica de Minas Gerais, Av. Dom José Gaspar, 500, Coração Eucarístico, 30535-901, Belo Horizonte, Minas Gerais, Brazil.
Departamento de Física and National Institute of Science and Technology of Complex Systems, ICEx, Universidade Federal de Minas Gerais, Caixa Postal 702, 30161-970, Belo Horizonte - Minas Gerais, Brazil.
Am J Phys. 2015 May;83(5):468-474. doi: 10.1119/1.4917164.
We discuss a lattice model of vector-mediated transmission of a disease to illustrate how simulations can be applied in epidemiology. The population consists of two species, human hosts and vectors, which contract the disease from one another. Hosts are sedentary, while vectors (mosquitoes) diffuse in space. Examples of such diseases are malaria, dengue fever, and Pierce's disease in vineyards. The model exhibits a phase transition between an absorbing (infection free) phase and an active one as parameters such as infection rates and vector density are varied.
我们讨论一种疾病的媒介传播晶格模型,以说明模拟如何应用于流行病学。种群由两种物种组成,人类宿主和媒介,它们相互感染疾病。宿主是固定不动的,而媒介(蚊子)在空间中扩散。这类疾病的例子有疟疾、登革热和葡萄园中的皮尔氏病。随着感染率和媒介密度等参数的变化,该模型在吸收(无感染)相和活跃相之间呈现出相变。