5 papers
Threshold dynamics of a time-periodic nonlocal dispersal SIS epidemic model with saturated incidence function and Neumann boundary conditions
Ziwei Liang, Xiandong Lin, Qiru Wang
In this paper, we consider a time-periodic nonlocal dispersal susceptible-infected-susceptible (SIS) epidemic model with saturated incidence and Neumann boundary conditions in a sp…
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…
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…
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,…
Global existence and finite time blowup for a mixed pseudo-parabolic -Laplacian type equation
Jiazhuo Cheng, Qiru Wang
This paper concerns the initial-boundary value problem for a mixed pseudo-parabolic -Laplacian type equation. By constructing a family of potential wells, we first present the e…