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

Hsin Yi Lin, William F. Fagan, Pierre Emmanuel Jabin

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Article number	110486
Journal	Journal of Theoretical Biology
Volume	508
DOIs	https://doi.org/10.1016/j.jtbi.2020.110486
State	Published - Jan 7 2021

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modeling and Simulation
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

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10.1016/j.jtbi.2020.110486

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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.",

author = "Lin, {Hsin Yi} and Fagan, {William F.} and Jabin, {Pierre Emmanuel}",

note = "Funding Information: W. F. Fagan was supported by NSF grant DMS1853465. P.-E. Jabin was partially supported by NSF grant DMS1614537, DMS1908739, and NSF grant (Ki-Net) RNMS1107444. Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

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Memory-driven movement model for periodic migrations

Abstract

All Science Journal Classification (ASJC) codes

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