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SUMMARY:Phil Broadbridge (La Trobe University\, Australia and IMI-Kyushu U
 niversity\, Japan)
DTSTART:20231130T110000Z
DTEND:20231130T120000Z
DTSTAMP:20260423T021331Z
UID:mmandim/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/64/"
 >Reaction-diffusion models for fish populations with realistic mobility</a
 >\nby Phil Broadbridge (La Trobe University\, Australia and IMI-Kyushu Uni
 versity\, Japan) as part of Mathematical models and integration methods\n\
 n\nAbstract\nNonlinear reaction-diffusion equations\, with Fisher logistic
  growth and constant diffusion coefficient\, have been used in fisheries r
 esearch to estimate sustainable harvesting rates and critical domain sizes
  of no-take areas. However\, constant diffusivity in a population density 
 corresponds to standard Brownian motion of individuals\, with a normal dis
 tribution for displacement over a fixed time interval. For available good 
 data sets on mobile fish populations\, the distribution is certainly not n
 ormal. The data can be fitted with a long-tailed Lévy distribution that c
 orresponds to diffusion by fractional Laplacian.\n\nWe have developed exac
 t solutions for realistic Fisher-Kolmogorov-Petrovski-Piscounov  models wi
 th diffusion by fractional Laplacian. These can also account for a delay i
 n the reaction term. It is then shown how to modify critical domain sizes 
 of protected areas.\n
LOCATION:https://researchseminars.org/talk/mmandim/64/
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