Department of Experimental Oncology, European Institute of Oncology, Via Ripamonti 435, 20141 Milano, Italy.
J Theor Biol. 2010 May 21;264(2):237-52. doi: 10.1016/j.jtbi.2010.02.007. Epub 2010 Feb 10.
For infections for which the perceived risk of serious disease is steadily low, the perceived risk of suffering some vaccine side effects might become the driving force of the vaccine demand. We investigate the dynamics of SIR infections in homogeneously mixing populations where the vaccine uptake is a decreasing function of the current (or past) incidence, or prevalence, of vaccine side effects. We define an appropriate model where vaccine side-effects are modelled as functions of the age since vaccination. It happens that the vaccine uptake follows its own dynamics independent of epidemiological variables. We show the conditions under which the vaccine uptake lands on a globally stable equilibrium, or steadily oscillates, and the implications of such behaviour for the dynamics of epidemiological variables. We finally report some unexpected scenarios caused by trends in vaccine side effects.
对于那些被认为患病风险较低的传染病,人们对疫苗副作用的担忧可能会成为推动疫苗需求的主要因素。我们研究了在同质混合人群中 SIR 传染病的动态变化,其中疫苗接种率是当前(或过去)疫苗副作用发生率或流行率的递减函数。我们定义了一个适当的模型,其中疫苗副作用被建模为接种后年龄的函数。事实证明,疫苗接种率的变化独立于流行病学变量。我们展示了疫苗接种率达到全局稳定平衡点或稳定振荡的条件,以及这种行为对流行病学变量动态的影响。最后,我们报告了一些由于疫苗副作用趋势引起的意外情况。