7 citations · 12 across the 5 of their papers we have counts for
6 papers
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…
On a population model in discrete periodic habitat. I. spreading speed and optimal dispersal strategy
Thazin Aye, Jian Fang, Yingli Pan
Starting from an age-structured diffusive population growth law for single species in a discrete and periodic habitat, we formulate a stage structured population model with spatial…
seasonal influence on age-structured invasive species with yearly generation
Yingli Pan, Jian Fang, Junjie Wei
How do seasonal successions influence the propagation dynamics of an age-structured invasive species? We investigate this problem by considering the scenario that the offsprings ar…
Notes on nonlocal dispersal equations in a periodic habitat
Jian Fang, Xiao-Qiang Zhao
In this paper, we prove that the solution maps of a large class of nonlocal dispersal equations are -contractions, where is the Kuratowski measure of noncompactness. Then we…
Traveling waves and spreading speeds for time-space periodic monotone systems
Jian Fang, Xiao Yu, Xiao-Qiang Zhao
The theory of traveling waves and spreading speeds is developed for time-space periodic monotone semiflows with monostable structure. By using traveling waves of the associated Poi…
Bistable Traveling Waves for Monotone Semiflows with Applications
Jian Fang, Xiao-Qiang Zhao
This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. Under an abstract setting, we establish the existence of bistable traveling w…