Special Session 106: Nonlocal and Local Interactions in Population Dynamics: Mathematical Analysis and Numerical Approaches.
Spatiotemporal pattern formation in nonlocal aggregation-diffusion model driven by asymmetric spatial cognitive map
Junping Shi
College of William & Mary USA
Co-Author(s): Di Liu, Junping Shi, Hao Wang
Abstract:
Nonlocal aggregation-diffusion models, when coupled with a spatial map, can capture cognitive and memory-based influences on animal movement and population-level patterns. A reaction-diffusion-aggregation system coupled with a separate dynamically updating map is proposed to describe the animal population movement. We will show that when an asymmetric cognitive map influences instantaneously, a rotating movement pattern emerges.