European Conference on Mathematical and Theoretical Biology (ECMTB 2026)

Rotating waves driven by asymmetric cognitive map in nonlocal aggregation-diffusion model driven by spatial cognitive map

MS124-10

13 Jul 2026, 17:20

20m

03.01 - HS (University of Graz)

Minisymposium Talk Population Dynamics, Ecology & Evolution Advanced Progresses in Population Models Driven by Natural and/or Artificial Intelligence

Speaker

Junping Shi (College of William & Mary)

Description

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 show that when an asymmetric cognitive map influences instantaneously, a rotating movement pattern emerges.