Memory-driven movement model for periodic migrations

Hsin-Yi Lin; William F Fagan; Pierre-Emmanuel Jabin

doi:10.1016/j.jtbi.2020.110486

Memory-driven movement model for periodic migrations

J Theor Biol. 2021 Jan 7:508:110486. doi: 10.1016/j.jtbi.2020.110486. Epub 2020 Sep 14.

Authors

Hsin-Yi Lin¹, William F Fagan², Pierre-Emmanuel Jabin³

Affiliations

¹ Center for Scientific Computation and Mathematical Modeling (CSCAMM) and Department of Mathematics, University of Maryland, College Park, MD 20742, United States. Electronic address: hylin@cscamm.umd.edu.
² Department of Biology, University of Maryland, College Park, MD 20742, United States. Electronic address: bfagan@umd.edu.
³ Center for Scientific Computation and Mathematical Modeling (CSCAMM) and Department of Mathematics, University of Maryland, College Park, MD 20742, United States. Electronic address: pjabin@cscamm.umd.edu.

PMID: 32941915
DOI: 10.1016/j.jtbi.2020.110486

Abstract

We propose a model for memory-based movement of an individual. The dynamics are modeled by a stochastic differential equation, coupled with an eikonal equation, whose potential depends on the individual's memory and perception. Under a simple periodic environment, we discover that both long and short-term memory with appropriate time scales are essential for producing expected periodic migrations.

Keywords: Dynamical landscapes; Eikonal equation; Memory model; Stochastic differential equations.

Publication types

Research Support, U.S. Gov't, Non-P.H.S.