Dynamics of a vector-host model under switching environments
Dynamics of a vector-host model under switching environments
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DOI：
10.3934/dcdsb.2021029
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Harrison Watts;Arti Mishra;D. Nguyen;T. D. Tuong
中科院分区：
文献类型：
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作者：
Harrison Watts;Arti Mishra;D. Nguyen;T. D. Tuong
利用分段确定性马尔可夫过程(PDMP)的良好性质，提出并分析了随机向量-宿主模型。推导了随机模型的阈值，该阈值的符号决定了疾病最终是消失还是持续存在。我们从数学上证明了切换在令人惊讶地逆转确定性系统的长期属性方面起着重要作用的情景的存在。
In this paper, the stochastic vector-host model has been proposed and analysed using nice properties of piecewise deterministic Markov processes (PDMPs). A threshold for the stochastic model is derived whose sign determines whether the disease will eventually disappear or persist. We show mathematically the existence of scenarios where switching plays a significant role in surprisingly reversing the long-term properties of deterministic systems.