Memory-driven movement model for periodic migrations

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

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish (US)
Article number110486
JournalJournal of Theoretical Biology
StatePublished - 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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