野生动物种群中两种相互影响的病原体的感染阈值。

IF 1.9 4区数学 Q2 BIOLOGY

Mathematical Biosciences Pub Date : 2024-07-14 DOI:10.1016/j.mbs.2024.109258

M.G. Roberts

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引用次数: 0

摘要

我们提出了一个野生动物宿主种群中两种相互作用的病原体变体的动态模型。利用下一代矩阵方法，我们定义了一种病原体变体在另一种病原体变体已经确定并处于稳定状态时的入侵阈值。然后，我们为以下特殊情况提供了明确的标准：i) 两种病原体变体相互排斥；ii) 一种变体排斥另一种变体；iii) 感染两种变体的宿主的种群动态与感染顺序无关；iv) 变体之间没有相互作用；v) 一种变体增强了另一种变体的传播。

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Infection thresholds for two interacting pathogens in a wild animal population

We present a model for the dynamics of two interacting pathogen variants in a wild animal host population. Using the next-generation matrix approach we define the invasion threshold for one pathogen variant when the other is already established and at steady state. We then provide explicit criteria for the special cases where: i) the two pathogen variants exclude each other; ii) one variant excludes the other; iii) the population dynamics of hosts infected with both variants are independent of the order of infection; iv) there is no interaction between the variants; and v) one variant enhances transmission of the other.

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来源期刊

Mathematical Biosciences 生物-生物学

CiteScore

7.50

自引率

2.30%

发文量

审稿时长

18 days

期刊介绍： Mathematical Biosciences publishes work providing new concepts or new understanding of biological systems using mathematical models, or methodological articles likely to find application to multiple biological systems. Papers are expected to present a major research finding of broad significance for the biological sciences, or mathematical biology. Mathematical Biosciences welcomes original research articles, letters, reviews and perspectives.