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28 个模型之后:模型竞赛与僵尸末日。

28 Models Later: Model Competition and the Zombie Apocalypse.

机构信息

Department of Mathematics and Statistics, Utah State University, Logan, USA.

Department of Statistics and Applied Probability, University of California Santa Barbara, Santa Barbara, USA.

出版信息

Bull Math Biol. 2021 Jan 16;83(3):22. doi: 10.1007/s11538-020-00845-5.

Abstract

Between Fall 2011 and Fall 2012 students at Utah State University played several rounds of Humans versus Zombies (HvZ), a role-playing variant of tag popular on college campuses. The goal of the game is for the zombies to tag humans, converting them into more zombies. Based on portrayals of 'zombieism' in popular culture, one might treat HvZ as a disease system. However, a traditional SIR model with mass-action dynamics does a poor job of modeling HvZ, leading to the natural question: What mechanisms drive the dynamics of the HvZ system? We use model competition, with Bayesian Information Criterion as arbiter, to answer this question. First, we develop a suite of models with a variety of transmission mechanisms and fit to data from fall 2011. We use model competition to determine which model(s) have the most support from the data, thereby offering insight into driving mechanisms for HvZ. Bootstrapping is used to both assess the significance of individual mechanisms and to determine confidence in the performance of our models. Finally, we test predictions of the best models with data from fall 2012. Results indicate that through both years of the game humans tend to cluster defensively, zombies tend to hunt in groups, some zombies are more proficient hunters, and some humans leave the game.

摘要

2011 年秋季至 2012 年秋季,犹他州立大学的学生们玩了几轮“人类对抗僵尸”(HvZ)游戏,这是一种在大学校园里流行的角色扮演游戏。游戏的目标是让僵尸标记人类,将他们变成更多的僵尸。根据流行文化中对“僵尸症”的描述,人们可能会将 HvZ 视为一种疾病系统。然而,传统的 SIR 模型与质量作用动力学在建模 HvZ 方面表现不佳,这就引出了一个自然的问题:是什么机制驱动了 HvZ 系统的动态?我们使用模型竞争,以贝叶斯信息准则为仲裁者,来回答这个问题。首先,我们开发了一系列具有多种传播机制的模型,并拟合 2011 年秋季的数据。我们使用模型竞争来确定哪些模型(或多个模型)最受数据支持,从而深入了解 HvZ 的驱动机制。我们使用自举法来评估单个机制的显著性,并确定我们模型的性能的置信度。最后,我们使用 2012 年秋季的数据来测试最佳模型的预测。结果表明,在游戏的两年中,人类倾向于防御性地聚集,僵尸倾向于成群狩猎,一些僵尸是更熟练的猎手,一些人类则退出了游戏。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c9ef/7811353/057a5dbb8c8b/11538_2020_845_Fig1_HTML.jpg

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