7 citations · 20 across the 11 of their papers we have counts for
11 papers
Spatio-temporal dynamics for a class of monotone evolution systems
Taishan Yi, Xiao-Qiang Zhao
In this paper, under an abstract setting we establish the spreading properties and the existence, non-existence and global attractivity of spatially heterogeneous steady states for…
Global Dynamics of Nonlocal Diffusion Systems on Time-Varying Domains
Xiandong Lin, Hailong Ye, Xiao-Qiang Zhao
We propose a class of nonlocal diffusion systems on time-varying domains, and fully characterize their asymptotic dynamics in the asymptotically fixed, time-periodic and unbounded…
Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for periodic patch models
Lei Zhang, Xiao-Qiang Zhao
This paper is devoted to the study of the asymptotic behavior of the principal eigenvalue and basic reproduction ratio associated with periodic population models in a patchy enviro…
Asymptotic behavior of the basic reproduction ratio for periodic reaction-diffusion systems
Lei Zhang, Xiao-Qiang Zhao
This paper is devoted to the study of asymptotic behavior of the basic reproduction ratio for periodic reaction-diffusion systems in the case of small and large diffusion coefficie…
Propagation Dynamics for Monotone Evolution Systems without Spatial Translation Invariance
Taishan Yi, Xiao-Qiang Zhao
In this paper,under an abstract setting we establish the existence of spatially inhomogeneous steady states and the asymptotic propagation properties for a large class of monotone…
Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment
Jian Fang, Rui Peng, Xiao-Qiang Zhao
This paper concerns the nonautonomous reaction-diffusion equation \[ u_t=u_{xx}+ug(t,x-ct,u), \quad t>0,x\in\mathbb{R}, \] where is the shifting speed, and the tim…