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26 papers · 1 filter
Nonlocal dispersal equations with almost periodic dependence. I. Principal spectral theory
Maria Amarakristi Onyido, Wenxian Shen
This series of two papers is devoted to the study of the principal spectral theory of nonlocal dispersal operators with almost periodic dependence and the study of the asymptotic d…
Traveling wave solutions for two species competitive chemotaxis systems
T. B. Issa, R. B Salako, W. Shen
In this paper, we consider two species chemotaxis systems with Lotka-Volterra competition reaction terms. Under appropriate conditions on the parameters in such a system, we establ…
Forced waves of parabolic-elliptic Keller-Segel models in shifting environments
Wenxian Shen, Shuwen Xue
The current paper is concerned with the forced waves of Keller-Segel chemoattraction systems in shifting environments of the form, \begin{equation} \begin{cases} u_t=u_{xx}-χ(uv_x)…
Fano resonance in metallic grating via strongly coupled subwavelength resonators
Junshan Lin, Hai Zhang
We investigate the Fano resonance in grating structures by using coupled resonators. The grating consists of a perfectly conducting slab with periodically arranged subwavelength sl…
Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source?
Rachidi B. Salako, Wenxian Shen, Shuwen Xue
The current paper is concerned with the spatial spreading speed and minimal wave speed of the following Keller-Segel chemoattraction system, \begin{equation}\label{abstract-eq1} \b…
Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on . III. Transition fronts
R. B. Salako, W. Shen
The current work is the third of a series of three papers devoted to the study of asymptotic dynamics in the space-time dependent logistic source chemotaxis system, $$ \begin{cases…