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On a Spatial Mosquito-Borne Disease Model with Density-Dependent Dispersal

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成果类型:
期刊论文
作者:
Kai Wang;Peng Wu;Qian Ding;Jianshe Yu*
通讯作者:
Jianshe Yu
作者机构:
[Peng Wu] School of Sciences, Hangzhou Dianzi University, Hangzhou, 310018, China.
[Qian Ding] College of Science, Hunan City University, Yiyang, 413000, China.
[Jianshe Yu] Corresponding author. Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China.
[Kai Wang] Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China.
通讯机构:
[Jianshe Yu] C
Corresponding author. Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China.
语种:
英文
关键词:
mosquito-borne disease;density-dependent dispersal;spatial heterogeneity;basic reproduction ratio;threshold dynamics;35B40;92D30;37N25;35K57
期刊:
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN:
0036-1399
年:
2025
卷:
85
期:
3
页码:
1067 - 1098
基金类别:
The work of the second author was supported by the National Natural Science Foundation of China grant 12201557. The work of the fourth author was partially supported by the National Natural Science Foundation of China grants 12331017 and 12071095. The work of the first and third authors was supported by the National Natural Science Foundation of China grant 12401633, by the China Postdoctoral Science Foundation grants 2023M740801 and 2024T170191, and by the Postdoctoral Fellowship Program of CPSF grant GZC20230589.
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
Chemotaxis of mosquito movement has been widely confirmed, but it has rarely been incorporated into infectious disease modeling. This paper proposes a novel mosquito-borne disease model driven by density-suppressed motility and spatial heterogeneity. Via overcoming the difficulties caused by dispersal mechanism and heterogeneity, we establish the global existence and ultimate boundedness of solutions for the model following a priori estimates and the parabolic regularity theory. We define the basic reproduction ratio \(\mathcal {R}_0\) and derive its upper bound \(\tilde {\mathcal {R}}_0\) and...

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