Sykes David, Rychtář Jan
Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greensboro, NC 27402, USA.
Theor Popul Biol. 2015 Nov;105:33-8. doi: 10.1016/j.tpb.2015.08.003. Epub 2015 Aug 28.
The protozoan Toxoplasma gondii is a parasite often found in wild and domestic cats, and it is the cause of the disease toxoplasmosis. More than 60 million people in the United States carry the parasite, and the Centers for Disease Control have placed toxoplasmosis in their disease classification group Neglected Parasitic Infections as one of five parasitic diseases targeted as priorities for public health action. In recent years, there has been significant progress toward the development of a practical vaccine, so vaccination programs may soon be a viable approach to controlling the disease. Anticipating the availability of a toxoplasmosis vaccine, we are interested in determining when cat owners should vaccinate their own pets. We have created a mathematical model describing the conditions under which vaccination is advantageous. Our model can be used to predict the average vaccination level in the population. We find that there is a critical vaccine cost threshold above which no one will use the vaccine. A vaccine cost slightly below this threshold, however, results in high usage of the vaccine, and consequently in a significant reduction in population seroprevalence. Not surprisingly, we find that populations may achieve herd immunity only if the cost of vaccine is zero.
原生动物刚地弓形虫是一种常在野猫和家猫体内发现的寄生虫,它是弓形虫病的病因。美国有超过6000万人携带这种寄生虫,疾病控制中心已将弓形虫病列入其被忽视的寄生虫感染疾病分类组,作为公共卫生行动重点关注的五种寄生虫病之一。近年来,在开发实用疫苗方面取得了重大进展,因此疫苗接种计划可能很快成为控制该疾病的可行方法。预计会有弓形虫病疫苗,我们有兴趣确定猫主人应在何时为自己的宠物接种疫苗。我们创建了一个数学模型,描述了接种疫苗有利的条件。我们的模型可用于预测人群中的平均疫苗接种水平。我们发现存在一个关键的疫苗成本阈值,高于此阈值就没有人会使用该疫苗。然而,疫苗成本略低于此阈值会导致疫苗的高使用率,从而使人群血清阳性率显著降低。不出所料,我们发现只有在疫苗成本为零的情况下,人群才可能实现群体免疫。