Modeling Wolbachia infection in mosquito population via discrete dynamical models
Modeling Wolbachia infection in mosquito population via discrete dynamical models
复制标题
通过离散动力学模型模拟蚊子种群中的沃尔巴克氏体感染
DOI：
10.1080/10236198.2019.1669578
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发表时间：
2019
影响因子：
1.1
通讯作者：
Zheng Bo
中科院分区：
文献类型：
--
作者：
Yu Jianshe;Zheng Bo
本文通过释放感染沃尔巴克氏体的蚊子，建立了研究沃尔巴克氏体感染持久性的离散动力学模型，该模型具有丰富的动力学特性，包括双稳态、半稳态和全局渐近稳定平衡。我们的分析显示了一个最大母体泄漏率阈值，表示为，这样，感染的蚊子只有在不超过时才能持续存在。当，我们找到沃尔巴克氏体感染频率阈值，表示为，使得感染的蚊子在初始感染频率不变的情况下可以持续存在。当我们发现释放率阈值为时，沃尔巴克氏体感染频率阈值降低，为时，感染频率阈值进一步降低至0，这意味着沃尔巴克氏体在任何初始感染频率大于0的情况下都能成功持续。
ABSTRACT We formulate discrete dynamical models to study Wolbachia infection persistence by releasing Wolbachia-infected mosquitoes, which display rich dynamics including bistable, semi-stable and globally asymptotically stable equilibria. Our analysis shows a maximal maternal leakage rate threshold, denoted by , such that infected mosquitoes can only persist if it is not exceeded by . When , we find the Wolbachia infection frequency threshold, denoted by , such that the infected mosquitoes can persist provided that the initial infection frequency . For the case when , we find the release rate threshold, denoted by , for , the Wolbachia infection frequency threshold is reduced, and for , the threshold infection frequency is further lowered to 0 which implies that Wolbachia persistence is always successful for any initial infection frequency above 0.