Darwinian dynamics of Host-Pathogen interactions.

IF 2.6 4区 工程技术 Q1 Mathematics
Anuraag Bukkuri, Sabrina Streipert, Yun Kang
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引用次数: 0

Abstract

Epizootic hemorrhagic disease (EHD) causes varied clinical outcomes across ruminants and geographical locations. Northern white-tailed deer experience infrequent, high-mortality outbreaks; southern white-tailed deer experience seasonal, lower-mortality infections; and African cattle experience endemic, subclinical infections. These observations provide a natural setting to explore how environmental exposure impacts the evolution of host defense strategies. In this paper, we develop a Darwinian pathogen-epidemic model that couples host-pathogen population dynamics with the evolution of resistance (recovery from pathogen) and tolerance (minimizing the effects of infection) traits. We obtain the basic reproduction number $ \mathcal{R}_0 $ and show that the unique disease-free equilibrium is locally asymptotically stable if $ \mathcal{R}_0 < 1 $ and unstable if $ \mathcal{R}_0 > 1 $, consistent with the corresponding purely ecological model. However, we also identify key differences between the models, as the evolution of traits can have a stabilizing effect and may promote bistability. Numerical simulations reveal that high pathogen burden and transmission favor the evolution of tolerance, whereas low pathogen burden promotes the evolution of resistance. Host-intrinsic factors, such as natural death rates and density-dependent suppression of growth, lead to resistance evolution, whereas high host reproductive rates lead to tolerance. Applying our model to EHD shows that intermittent exposure in northern deer leads to no evolved defense, seasonal exposure in southern deer results in the evolution of resistance, and endemic exposure in African cattle selects for tolerance. Furthermore, we demonstrate that continuous vs. periodic control of the disease vector population can lead to the evolution of different defense mechanisms. These findings highlight how environmental and host-pathogen factors shape the evolution of defense strategies, thereby informing disease management and control in wildlife and livestock populations affected by pathogens, such as the EHD virus.

宿主-病原体相互作用的达尔文动力学。
动物流行性出血病(EHD)在不同的反刍动物和地理位置引起不同的临床结果。北方白尾鹿经历罕见的高死亡率爆发;南方白尾鹿的感染是季节性的,死亡率较低;而非洲牛则经历地方性的亚临床感染。这些观察结果为探索环境暴露如何影响宿主防御策略的演变提供了自然环境。在本文中,我们建立了一个达尔文的病原体-流行病模型,该模型将宿主-病原体种群动态与抗性(从病原体中恢复)和耐受性(最大限度地减少感染的影响)性状的进化结合起来。我们得到了基本繁殖数$ \mathcal{R}_0 $,并证明了当$ \mathcal{R}_0 < 1 $时唯一无病平衡是局部渐近稳定的,当$ \mathcal{R}_0 > 1 $时是不稳定的,与相应的纯生态模型一致。然而,我们也确定了模型之间的关键差异,因为性状的进化可以起到稳定作用,并可能促进双稳定性。数值模拟表明,高病原体负荷和传播有利于耐受性的进化,而低病原体负荷则促进耐药性的进化。宿主的内在因素,如自然死亡率和密度依赖性生长抑制,导致抗性进化,而宿主的高繁殖率导致耐受性。将我们的模型应用于EHD表明,北方鹿的间歇性暴露导致没有进化的防御,南方鹿的季节性暴露导致抗性的进化,而非洲牛的地方性暴露选择了耐受性。此外,我们证明了疾病媒介种群的连续控制与周期性控制可以导致不同防御机制的进化。这些发现强调了环境和宿主-病原体因素如何影响防御策略的演变,从而为受EHD病毒等病原体影响的野生动物和牲畜种群的疾病管理和控制提供了信息。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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