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math.AP2021★ 3 cited
On a Class of Nonlocal SIR Models
Li, Guan, Dong Li +2
We revisit the classic Susceptible-Infected-Recovered (SIR) epidemic model and one of its nonlocal variations recently developed in \cite{Guan}. We introduce several new approaches…
math.AP2020
On 3D Hall-MHD equations with fractional Laplacians: global well-posedness
Huali Zhang, Kun Zhao
Cauchy problem for 3D incompressible Hall-magnetohydrodynamics (Hall-MHD) system with fractional Laplacians is studied. First, global well-posedness of small-energy solutions with…
math.AP2020
Large Time Behavior and Diffusion Limit for a System of Balance Laws From Chemotaxis in Multi-dimensions
Tong Li, Dehua Wang, Fang Wang +2
We consider the Cauchy problem for a system of balance laws derived from a chemotaxis model with singular sensitivity in multiple space dimensions. Utilizing energy methods, we fir…