进化流行病学模型极大地影响了生物学领域中各种感染和预防方法的研究。这些模型被称为Susceptible,封锁,接种疫苗,感染,和恢复(SLVIR)流行动态。我们探索人类行为,特别是在疾病传播的背景下,受两种干预策略的影响:疫苗接种和封锁,两者都基于进化博弈论(EGT)的原理。这项利用进化博弈论的综合研究深入研究了流行病的动力学,明确关注从免疫敏感性到封锁措施敏感性的转换率。我们的研究涉及对SLVIR流行病模型的结构方面的透彻分析,它描述了无病平衡,以确保系统的稳定性。我们的调查支持这样一种观点,即实施封锁措施有效地降低了所需的疫苗接种水平,以减少新感染的流行。此外,它强调,当流行病迅速蔓延时,将两种策略结合起来尤其有效。在疾病传播相对较多的地区,我们的研究表明,封锁措施比仅仅依靠疫苗更有效地减少疾病的传播。通过重要的数值模拟,我们的研究表明,整合封锁措施和有效的疫苗接种策略可以间接降低人群中的感染风险,前提是它们既可靠又负担得起。结果揭示了一个细微差别和有益的情景,我们研究了疫苗接种策略和封锁措施的演变之间的相互作用,通过平均社会回报指标评估他们的共存。
Evolutionary epidemiology models have substantially impacted the study of various infections and prevention methods in the biology field. These models are called Susceptible, Lockdown, Vaccinated, Infected, and Recovered (SLVIR) epidemic dynamics. We explore how human behavior, particularly in the context of disease transmission, is influenced by two intervention strategies: vaccination and lockdown, both of which are grounded in the principles of evolutionary game theory (EGT). This comprehensive study using evolutionary game theory delves into the dynamics of epidemics, explicitly focusing on the transition rate from susceptibility to immunity and susceptibility to lockdown measures. Our research involves a thorough analysis of the structural aspects of the SLVIR epidemic model, which delineates disease-free equilibria to ensure stability in the system. Our investigation supports the notion that implementing lockdown measures effectively reduces the required level of vaccinations to curtail the prevalence of new infections. Furthermore, it highlights that combining both strategies is particularly potent when an epidemic spreads rapidly. In regions where the disease spreads comparatively more, our research demonstrates that lockdown measures are more effective in reducing the spread of the disease than relying solely on vaccines. Through significant numerical simulations, our research illustrates that integrating lockdown measures and efficient vaccination strategies can indirectly lower the risk of infection within the population, provided they are both dependable and affordable. The outcomes reveal a nuanced and beneficial scenario where we examine the interplay between the evolution of vaccination strategies and lockdown measures, assessing their coexistence through indicators of average social payoff.