Wolbachia感染的结构化和非结构化连续模型
Structured and unstructured continuous models for Wolbachia infections
摘要：
我们介绍并研究了一系列的模型感染的二倍体二倍体宿主物种的细菌内共生体\textit{Wolbachia}。连续模型的特点是部分垂直传播，细胞质不相容性和健身成本与感染。一个特别令人感兴趣的方面是相互不相容的菌株之间的竞争。我们进一步引入了一个年龄结构模型，考虑到不同的生育率和死亡率在不同阶段的生命周期的个人。只有几个参数，常微分方程模型已经表现出有趣的动力学，并可用于预测的标准下，一个菌株的细菌是能够入侵的人口。有趣的是，但并不令人惊讶的是，年龄结构模型显示出显着的差异，关于平衡解的存在性和稳定性相比，非结构化模型。
英文摘要：
We introduce and investigate a series of models for an infection of a diplodiploid host species by the bacterial endosymbiont \textit{Wolbachia}. The continuous models are characterized by partial vertical transmission, cytoplasmic incompatibility and fitness costs associated with the infection. A particular aspect of interest is competitions between mutually incompatible strains. We further introduce an age-structured model that takes into account different fertility and mortality rates at different stages of the life cycle of the individuals. With only a few parameters, the ordinary differential equation models exhibit already interesting dynamics and can be used to predict criteria under which a strain of bacteria is able to invade a population. Interestingly, but not surprisingly, the age-structured model shows significant differences concerning the existence and stability of equilibrium solutions compared to the unstructured model.
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