3 papers
math.AP2026
Principal spectral theory and variational characterizations for nonlocal coupled cooperative systems and applications
Xiandong Lin, Jiazhuo Cheng, Qiru Wang
This paper investigates the principal spectral theory of a nonlocal dispersal operator with coupled diffusion and aims to establish a variational characterization of the spectral b…
math.AP2026
Variational characterizations of weighted eigenvalue and basic reproduction ratio for nonlocal dispersal systems and application
Xiandong Lin, Jiazhuo Cheng, Qiru Wang
The basic reproduction ratio is a crucial threshold parameter in infectious disease models. In nonlocal dispersal systems, its variational characterization is challenging due to th…
math.AP2024
Global existence and nonexistence analyses for a magnetic fractional pseudo-parabolic equation
Jiazhuo Cheng, Qiru Wang
In this paper, we study the initial-boundary value problem for a pseudo-parabolic equation in magnetic fractional Orlicz-Sobolev spaces. First, by employing the imbedding theorems,…