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首页> 外文期刊>Journal of Mathematical Biology >Stochastic models of a parasitic infection, exhibiting three basic reproduction ratios
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Stochastic models of a parasitic infection, exhibiting three basic reproduction ratios

机译:具有三种基本繁殖率的寄生虫感染的随机模型

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Two closely related stochastic models of purasitic infection are investigated: a non-linear model, where density dependent constraints are included, and a linear model appropriate to the initial behaviour of an epidemic. Host-mortality is included in both models. These models are appropriate to transmission between homogeneously mixing hosts, where the amount of infection which is transferred from one host to another at a single contact depends on the number of parasites in the infecting host. In both models, the basic reproduction ratio Ro can be defined to be the lifetime expected number of offspring of an adult parasite under ideal conditions, but it does not necessarily contain the information needed to separate growth from extinction of infection. In fact we rind three regions for a certain parameter where different combinations of parameters determine the behavior of the models. The proofs involve martingale and coupling methods. [References: 7]
机译:研究了两个紧密相关的随机性感染模型:一个非线性模型(其中包括依赖于密度的约束条件)和一个适合流行病初始行为的线性模型。两种模式均包含主机死亡率。这些模型适用于均匀混合宿主之间的传播,其中一次接触从一个宿主转移到另一宿主的感染量取决于感染宿主中的寄生虫数量。在两个模型中,基本繁殖率Ro可以定义为在理想条件下成年寄生虫的后代预期寿命数,但不一定包含将生长与感染消灭分开所需的信息。实际上,我们为某个参数覆盖了三个区域,其中参数的不同组合决定了模型的行为。证明涉及mar和耦合方法。 [参考:7]

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