Klein Sylvia R M, Foster Alex O, Feagins David A, Rowell Jonathan T, Erovenko Igor V
Department of Mathematics, St. Mary's College of Maryland, St. Mary's City, MD, USA.
Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC, USA.
PeerJ. 2020 Dec 17;8:e10151. doi: 10.7717/peerj.10151. eCollection 2020.
In 2005, a chikungunya virus outbreak devastated the tropical island of Reunion, infecting a third of the total population. Motivated by the Reunion Island case study, we investigate the theoretic potential for two intervention measures under both voluntary and mandatory protocols to control a vector-borne disease when there is risk of the disease becoming endemic. The first measure uses insect repellent to prevent mosquito bites, while the second involves emigrating to the neighboring Mauritius Island to avoid infection. There is a threshold on the cost of using repellent above which both voluntary and mandatory regimes find it optimal to forgo usage. Below that threshold, mandatory usage protocols will eradicate the disease; however, voluntary adoption leaves the disease at a small endemic level. Emigrating from the island to avoid infection results in a tragedy-of-the-commons effect: while being potentially beneficial to specific susceptible individuals, the remaining islanders paradoxically face a higher risk of infection. Mandated relocation of susceptible individuals away from the epidemic is viable only if the cost of this relocation is several magnitudes lower than the cost of infection. Since this assumption is unlikely to hold for chikungunya, it is optimal to discourage such emigration for the benefit of the entire population. An underlying assumption about the conservation of human-vector encounter rates in mosquito biting behavior informs our conclusions and may warrant additional experimental verification.
2005年,基孔肯雅病毒爆发重创了留尼汪热带岛,感染了全岛三分之一的人口。受留尼汪岛案例研究的启发,我们研究了在疾病有可能成为地方病的情况下,两种干预措施在自愿和强制方案下控制媒介传播疾病的理论潜力。第一种措施是使用驱虫剂防止蚊虫叮咬,第二种措施是移民到邻国毛里求斯岛以避免感染。使用驱虫剂的成本存在一个阈值,高于该阈值时,自愿和强制方案都会认为放弃使用是最优选择。低于该阈值时,强制使用方案将根除疾病;然而,自愿采用则会使疾病维持在一个较小的地方病水平。从岛上移民以避免感染会产生公地悲剧效应:虽然这对特定的易感个体可能有益,但其余岛民却反常地面临更高的感染风险。只有当易感个体强制迁移的成本比感染成本低几个数量级时,将易感个体从疫区迁移出去才可行。由于这一假设对基孔肯雅病毒不太可能成立,为了全体居民的利益,最好劝阻这种移民行为。关于蚊虫叮咬行为中人与媒介接触率守恒的一个基本假设为我们的结论提供了依据,可能需要进一步的实验验证。