most citedAge-structured Models with Nonlocal Diffusion of Dirichlet Type, I: Principal Spectral Theory and Limiting Properties

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math.AP2022★ 1 cited

Age-structured Models with Nonlocal Diffusion of Dirichlet Type, I: Principal Spectral Theory and Limiting Properties

Arnaud Ducrot, Hao Kang, Shigui Ruan

Age-structured models with nonlocal diffusion arise naturally in describing the population dynamics of biological species and the transmission dynamics of infectious diseases in wh…

math.AP2022

Quantifying the threshold phenomena for propagation in nonlocal diffusion equations

Matthieu Alfaro, Arnaud Ducrot, Hao Kang

We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition case…