54 citations · 65 across the 5 of their papers we have counts for
5 papers
Transition Fronts of Fisher-KPP Equations in Locally Spatially Inhomogeneous Patchy Environments I: Existence and Non-existence
Erik S. Van Vleck, Aijun Zhang
This paper is devoted to the study of spatial propagation dynamics of species in locally spatially inhomogeneous patchy environments or media. For a lattice differential equation w…
Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats
Patrick De Leenheer, Wenxian Shen, Aijun Zhang
This paper is devoted to the study of persistence and extinction of a species modeled by nonlocal dispersal evolution equations in moving habitats with moving speed . It is show…
Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations in Time and Space Periodic Habitats
Nar Rawal, Wenxian Shen, Aijun Zhang
This paper is devoted to the investigation of spatial spreading speeds and traveling wave solutions of monostable evolution equations with nonlocal dispersal in time and space peri…
Competing Interactions and Traveling Wave Solutions in Lattice Differential Equations
Erik S. Van Vleck, Aijun Zhang
The existence of traveling front solutions to bistable lattice differential equations in the absence of a comparison principle is studied. The results are in the spirit of those in…
Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations
Wenxian Shen, Aijun Zhang
This paper deals with front propagation dynamics of monostable equations with nonlocal dispersal in spatially periodic habitats. In the authors' earlier works, it is shown that a g…