Dynamics analysis of a spatiotemporal SI model
Dynamics analysis of a spatiotemporal SI model
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DOI：
10.1016/j.aej.2023.05.044
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发表时间：
2023-05-27
影响因子：
6.8
通讯作者：
Srivastava，Hari Mohan
中科院分区：
文献类型：
--
作者：
Chen，Mengxin;Hu，Zhenyong;Srivastava，Hari Mohan
在本文中，我们研究了具有饱和处理、非单调发病率、逻辑增长和齐次诺伊曼边界条件的易感感染（SI）模型。给出了抛物线系统的全局存在性和一致有界性。之后，我们分别研究无病平衡（DFE）和地方病平衡（EE）的全局稳定性。最后，我们给出了椭圆系统的先验估计和非常数稳态的一些命题。同时，我们发现易感人群和感染人群的扩散率会影响非恒定稳态的不存在。一个有趣的发现是，当易感人群的内在增长率小于易感个体接种疫苗的比率时，DFE 和基本再生数不存在。
In this article, we investigate a susceptible-infected (SI) model with the saturated treatment, the non-monotonic incidence rate, the logistic growth, and the homogeneous Neumann boundary conditions. The global existence and the uniform boundedness of the parabolic system are performed. After that, we investigate the global stability of the disease free equilibrium (DFE) and the endemic equilibrium (EE), respectively. In the end, we give a priori estimates, some propositions of the nonconstant steady states to the elliptic system. Meanwhile, we find that the diffusion rates of the susceptible and the infected population can affect the nonexistence of the nonconstant steady states. An interesting finding is DFE and basic reproduction number do not exist when the intrinsic growth rate of the susceptible class less than the rate of susceptible individuals being vaccinated.