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How seasonal variations in birth and transmission rates impact population dynamics in a basic SIR model
Ecological Complexity ( IF 3.5 ) Pub Date : 2021-08-07 , DOI: 10.1016/j.ecocom.2021.100949
Charlotte Ward 1 , Alex Best 1
Affiliation  

The changing climate is expected to alter the timings of key events in species life-histories. These shifts are likely to have important consequences for infectious disease dynamics, as the distribution and abundance of host species will lead to a different environment for parasites. Previous work has shown how seasonality in single host traits - most commonly the reproduction rate or transmission rate - can lead to an array of complex epidemiological dynamics, including chaos and multiple-stable states, with changes to the timing and amplitude of the seasonal peaks often driving drastic changes in behaviour. However, more than one life-history trait is likely to be seasonal, and changing environmental conditions may impact each of them in different ways, yet there have been few studies of host-parasite dynamics that include more than one seasonal trait. Here we examine a Susceptible-Infected-Recovered epidemiological model in which both reproduction and transmission exhibit seasonal fluctuations. We examine how the amplitude and timing of these seasonal peaks impact disease dynamics. We show that the relative timing of the two events is key, with the most stable dynamics when births peak a few months before transmission. We also show that chaotic dynamics become more likely when transmission in particular has a high amplitude, and when baseline transmission and virulence are high. Our results emphasise the importance of seasonality and timing of host life-history events to disease dynamics.



中文翻译:

出生率和传播率的季节性变化如何影响基本 SIR 模型中的人口动态

气候变化预计将改变物种生活史中关键事件的发生时间。这些变化可能会对传染病动态产生重要影响,因为宿主物种的分布和丰富程度将导致寄生虫的不同环境。先前的研究表明,单一宿主性状的季节性——最常见的是繁殖率或传播率——如何导致一系列复杂的流行病学动态,包括混乱和多重稳定状态,季节性高峰的时间和幅度经常发生变化推动行为的急剧变化。然而,不止一种生活史特征可能是季节性的,不断变化的环境条件可能会以不同的方式影响每个特征,然而,很少有关于包含不止一种季节性特征的宿主-寄生虫动态的研究。在这里,我们研究了一个易感感染恢复的流行病学模型,其中繁殖和传播都表现出季节性波动。我们研究了这些季节性高峰的幅度和时间如何影响疾病动态。我们表明,这两个事件的相对时间是关键,在传播前几个月出生达到峰值时动态最稳定。我们还表明,当传播特别是高振幅时,以及基线传播和毒力高时,混沌动力学变得更有可能。我们的结果强调了宿主生活史事件的季节性和时间对疾病动态的重要性。在这里,我们研究了一个易感感染恢复的流行病学模型,其中繁殖和传播都表现出季节性波动。我们研究了这些季节性高峰的幅度和时间如何影响疾病动态。我们表明,这两个事件的相对时间是关键,在传播前几个月出生达到峰值时动态最稳定。我们还表明,当传播特别是高振幅时,以及基线传播和毒力高时,混沌动力学变得更有可能。我们的结果强调了宿主生活史事件的季节性和时间对疾病动态的重要性。在这里,我们研究了一个易感感染恢复的流行病学模型,其中繁殖和传播都表现出季节性波动。我们研究了这些季节性高峰的幅度和时间如何影响疾病动态。我们表明,这两个事件的相对时间是关键,在传播前几个月出生达到峰值时动态最稳定。我们还表明,当传播特别是高振幅时,以及基线传播和毒力高时,混沌动力学变得更有可能。我们的结果强调了宿主生活史事件的季节性和时间对疾病动态的重要性。在传播前几个月出生达到高峰时,动态最稳定。我们还表明,当传播特别是高振幅时,以及基线传播和毒力高时,混沌动力学变得更有可能。我们的结果强调了宿主生活史事件的季节性和时间对疾病动态的重要性。在传播前几个月出生达到高峰时,动态最稳定。我们还表明,当传播特别是高振幅时,以及基线传播和毒力高时,混沌动力学变得更有可能。我们的结果强调了宿主生活史事件的季节性和时间对疾病动态的重要性。

更新日期:2021-08-07
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