Records of epidemics acknowledge immunological multi-serotype illnesses as an important aspect of the occurrence and control of contagious diseases. These patterns occur due to antibody-dependent-enhancement (ADE) among serotype diseases, which leads to infection of secondary infectious classes. One example of this is dengue hemorrhagic fever and dengue shock syndrome, which comprises the following four serotypes: DEN-1, DEN-2, DEN-3, and DEN-4. The evolutionary vaccination game approach is able to shed light on this long-standing issue in a bid to evaluate the success of various control programs. Although immunization is regarded as one of the most accepted approaches for minimizing the risk of infection, cost and efficiency are important factors that must also be considered. To analyze the $n$-serovar aspect alongside ADE consequence in voluntary vaccination, this study establishes a new mathematical epidemiological model that is dovetailed with evolutionary game theory, an approach through which we explored two vaccine programs: primary and secondary. Our findings illuminate that the ‘cost-efficiency’ effect for vaccination decision exhibits an impact on controlling $n$-serovar infectious diseases and should be designed in such a manner as to avoid adverse effects. Furthermore, our numerical result justifies the fact that adopting ADE significantly boosted emerging disease incidence, it also suggest that the joint vaccine policy works even better when the complex cyclical epidemic outbreak takes place among multi serotypes interactions. Research also exposes that the primary vaccine is a better controlling tool than the secondary; however, introducing a highly-efficiency secondary vaccine against secondary infection plays a key role to control the disease prevalence.

流行病的记录承认免疫性多血清型疾病是传染性疾病发生和控制的重要方面。这些模式的出现是由于血清型疾病之间的抗体依赖性增强（ADE），导致继发感染性类别的感染。一个例子是登革出血热和登革热休克综合症，包括以下四种血清型：DEN-1，DEN-2，DEN-3和DEN-4。进化疫苗接种游戏方法能够阐明这一长期存在的问题，以评估各种控制程序的成功。尽管免疫被认为是最大程度地降低感染风险的方法之一，但成本和效率是必须考虑的重要因素。分析$ñ$-血清型方面以及ADE导致自愿接种，这项研究建立了一种新的数学流行病学模型，该模型与进化博弈理论相吻合，通过这种方法，我们探索了两种疫苗计划：一次和二次疫苗。我们的发现表明，疫苗接种决策的“成本效益”效应对控制病情有影响。$ñ$-血清型传染病，应以避免不良反应的方式进行设计。此外，我们的数值结果证明了采用ADE可以显着提高新发疾病的发病率，也表明当在多种血清型相互作用之间发生复杂的周期性流行时，联合疫苗策略的效果更好。研究还表明，一级疫苗比二级疫苗是更好的控制工具。然而，引入针对继发感染的高效二次疫苗在控制疾病流行方面起着关键作用。