How ticks keep ticking in the adversity of host immune reactions

How ticks keep ticking in the adversity of host immune reactions
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蜱虫如何在宿主免疫反应的逆境中保持滴答作响

DOI:
10.1007/s00285-018-1311-1
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发表时间:
2018-11
影响因子:
1.9
通讯作者:
Xiaotian Wu
Xiaotian Wu
中科院分区:
数学4区
文献类型:
--
作者:
Rachel Jennings;Yang Kuang;Horst R. Thieme;Jianhong Wu;Xiaotian Wu

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硬蜱被认为是最重要的食血节肢动物之一,因为它们能够传播多种蜱传疾病。基于有关蜱生态学、病原体流行病学及其界面的新兴知识,已经开发了数学模型,以了解蜱种群动态和蜱传疾病传播模式。然而,尚未做出认真的努力来模拟和评估由蜱摄食引发的宿主免疫对蜱种群根据蜱阶段的分布以及蜱种群灭绝和持久性的影响。在这里,我们构建了一个新的数学模型,考虑了宿主免疫状态对蜱种群动态的影响,并分析了模型解决方案的长期行为。引入两个阈值 和 来测量在不存在和存在宿主免疫力的情况下蜱与宿主相互作用的繁殖率。然后我们证明这两个阈值(有时在附加条件下)可用于预测蜱种群是否灭绝()以及蜱种群是否无限增长()。我们还证明了蜱持久性(蜱种群的持久性和有界性)以及蜱持久性平衡的存在性。当宿主物种调整其对蜱虫感染水平的免疫力时,它们为蜱虫种群形成了一个具有非常类似于物流增长的承载能力的环境。数值结果表明,宿主免疫反应减少了平衡状态下蜱种群的规模,明显降低了蜱传感染的风险。
Ixodidticks are acknowledged as one of the most important hematophagous arthropods because of their ability in transmitting a variety of tick-borne diseases. Mathematical models have been developed, based on emerging knowledge about tick ecology, pathogen epidemiology and their interface, to understand tick population dynamics and tick-borne diseases spread patterns. However, no serious effort has been made to model and assess the impact of host immunity triggered by tick feeding on the distribution of the tick population according to tick stages and on tick population extinction and persistence. Here, we construct a novel mathematical model taking into account the effect of host immunity status on tick population dynamics, and analyze the long-term behaviours of the model solutions. Two threshold values,and, are introduced to measure the reproduction ratios for the tick-host interaction in the absence and presence of host immunity. We then show that these two thresholds (sometimes under additional conditions) can be used to predict whether the tick population goes extinct () and the tick population grows without bound (). We also prove tick permanence (persistence and boundedness of the tick population) and the existence of a tick persistence equilibrium if. As the host species adjust their immunity to tick infestation levels, they form for the tick population an environment with a carrying capacity very much like that in logistic growth. Numerical results show that the host immune reactions decrease the size of the tick population at equilibrium and apparently reduce the tick-borne infection risk.
DOI: 10.1086/587530
发表时间: 2008-06-01
影响因子: 2.9
作者:
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通讯作者: Heesterbeek, J. A. P.
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期刊: PloS one
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DOI: 10.3389/fcimb.2013.00026
发表时间: 2013
影响因子: 5.7
作者:
Hajdušek O;Síma R;Ayllón N;Jalovecká M;Perner J;de la Fuente J;Kopáček P
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DOI: 10.1093/jmedent/28.2.223
发表时间: 1991-03
影响因子: 2.1
作者:
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通讯作者: G. Mount;D. Haile;R. Davey;L. M. Cooksey
DOI: 10.1007/978-0-387-21761-1
发表时间: 2003
期刊: --
影响因子: --
作者:
Xiao-Qiang Zhao
通讯作者: Xiao-Qiang Zhao