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Dynamics of a Fokker–Planck type diffusion epidemic model with general incidence and relapse

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成果类型:
期刊论文
作者:
Ding, Qian;Yu, Jianshe;Wang, Kai
通讯作者:
Wang, K
作者机构:
[Ding, Qian] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
[Ding, Qian; Yu, Jianshe; Wang, Kai] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China.
通讯机构:
[Wang, K ] G
Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China.
语种:
英文
关键词:
Fokker-Planck type diffusion;Basic reproduction number;Asymptotic profile;Endemic equilibrium
期刊:
Applied Mathematics Letters
ISSN:
0893-9659
年:
2024
卷:
154
页码:
109084
基金类别:
Educational Department of Hunan Province of China [23C0340]; National Natural Science Foundation of China [12331017, 12071095]; China Postdoctoral Science Foundation [2023M740801]; Postdoctoral Fellowship Program of CPSF, China [GZC20230589]
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
In this paper, a spatially heterogeneous SIRI epidemic model with general morbidity is studied, which conforms to the Fokker-Planck type diffusion law. The basic reproduction number 91 0 of the model is introduced, and the threshold dynamics based on 91 0 is discussed. In particular, with the help of elliptic eigenvalue theory, we determine the asymptotic profiles of the endemic equilibrium when the diffusion rate of su...

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