The impact of short- and long-range perception on population movements
ST Johnston, KJ Painter
JOURNAL OF THEORETICAL BIOLOGY | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | Published : 2019
Navigation of cells and organisms is typically achieved by detecting and processing orienteering cues. Occasionally, a cue may be assessed over a much larger range than the individual's body size, as in visual scanning for landmarks. In this paper we formulate models that account for orientation in response to short- or long-range cue evaluation. Starting from an underlying random walk movement model, where a generic cue is evaluated locally or nonlocally to determine a preferred direction, we state corresponding macroscopic partial differential equations to describe population movements. Under certain approximations, these models reduce to well-known local and nonlocal biological transport ..View full abstract
STJ thanks the Australian Mathematics Society for the award of a Lift-Off Fellowship to visit KJP. KJP acknowledges the Dipartimento di Scienze Matematiche and the Politecnico di Torino for a Visiting Professorship award.