4 papers
From daylight to darkness: a nonlocal model of circadian activity cycles
Dan Bell, Timothé Boyer, Hao Wang
An animal's ability to perceive its surroundings, as well as the ecological interactions it experiences, can be strongly influenced by the sleep patterns of both itself and surroun…
Dynamics of a coupled nonlocal PDE-ODE system with spatial memory: well-posedness, stability, and bifurcation analysis
Yurij Salmaniw, Di Liu, Junping Shi +1
Nonlocal aggregation-diffusion models, when coupled with a spatial map, can capture cognitive and memory-based influences on animal movement and population-level patterns. In this…
From habitat decline to collapse: a spatially explicit approach connecting habitat degradation to destruction
Yurij Salmaniw, Zhongwei Shen, Hao Wang
Habitat loss, driven primarily by anthropogenic activity, significantly threatens ecosystem sustainability. While it is well understood that habitat loss is the leading contributor…
Biological Aggregations from Spatial Memory and Nonlocal Advection
Di Liu, Yurij Salmaniw, Jonathan R. Potts +2
We investigate a nonlocal single-species reaction-diffusion-advection model that integrates the spatial memory of previously visited locations and nonlocal detection in space, resu…