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Biological modeling with nonlocal advection–diffusion equations
The employment of nonlocal PDE models to describe biological aggregation and other
phenomena has gained considerable traction in recent years. For cell populations, these …
phenomena has gained considerable traction in recent years. For cell populations, these …
Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive map**
H Wang, Y Salmaniw - Journal of Mathematical Biology, 2023 - Springer
The inclusion of cognitive processes, such as perception, learning and memory, are
inevitable in mechanistic animal movement modelling. Cognition is the unique feature that …
inevitable in mechanistic animal movement modelling. Cognition is the unique feature that …
How to scale up from animal movement decisions to spatiotemporal patterns: An approach via step selection
Uncovering the mechanisms behind animal space use patterns is of vital importance for
predictive ecology, thus conservation and management of ecosystems. Movement is a core …
predictive ecology, thus conservation and management of ecosystems. Movement is a core …
Spatial movement with distributed memory
Diffusion has been widely applied to model animal movement that follows Brownian motion.
However, animals typically move in non-Brownian ways due to their perceptual judgment …
However, animals typically move in non-Brownian ways due to their perceptual judgment …
Bifurcations in a diffusive resource-consumer model with distributed memory
H Shen, Y Song, H Wang - Journal of Differential Equations, 2023 - Elsevier
Spatial memory is significant in modeling animal movement. For a diffusive consumer-
resource model, a memory-based diffusion of consumer can result in richer and more …
resource model, a memory-based diffusion of consumer can result in richer and more …
Local and global existence for nonlocal multispecies advection-diffusion models
Nonlocal advection is a key process in a range of biological systems, from cells within
individuals to the movement of whole organisms. Consequently, in recent years, there has …
individuals to the movement of whole organisms. Consequently, in recent years, there has …
Estimating interactions between individuals from concurrent animal movements
Animal movements arise from complex interactions of individuals with their environment,
including both conspecific and heterospecific individuals. Animals may be attracted to each …
including both conspecific and heterospecific individuals. Animals may be attracted to each …
Spatial memory and taxis-driven pattern formation in model ecosystems
Mathematical models of spatial population dynamics typically focus on the interplay between
dispersal events and birth/death processes. However, for many animal communities …
dispersal events and birth/death processes. However, for many animal communities …
Identifying signals of memory from observations of animal movements
Incorporating memory (ie, some notion of familiarity or experience with the landscape) into
models of animal movement is a rising challenge in the field of movement ecology. The …
models of animal movement is a rising challenge in the field of movement ecology. The …
Turing instabilities are not enough to ensure pattern formation
Symmetry-breaking instabilities play an important role in understanding the mechanisms
underlying the diversity of patterns observed in nature, such as in Turing's reaction–diffusion …
underlying the diversity of patterns observed in nature, such as in Turing's reaction–diffusion …