NDLI: Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions

Content Provider	Semantic Scholar
Author	Weinberger, Hans Kawasaki, Kohkichi Shigesada, Nanako
Copyright Year	2008
Abstract	An idea used by Thieme (J. Math. Biol. 8, 173–187, 1979) is extended to show that a class of integro-difference models for a periodically varying habitat has a spreading speed and a formula for it, even when the recruitment function R(u, x) is not nondecreasing in u, so that overcompensation occurs. Numerical simulations illustrate the behavior of solutions of the recursion whose initial values vanish outside a bounded set.
Starting Page	387
Ending Page	411
Page Count	25
File Format	PDF HTM / HTML
DOI	10.1007/s00285-008-0168-0
PubMed reference number	18357451
Journal	Medline
Volume Number	57
Alternate Webpage(s)	http://www-users.math.umn.edu/~hfw/Math/shigesadaJMB080317.pdf
Alternate Webpage(s)	http://www.math.umn.edu/~hfw/Math/shigesadaJMB080317.pdf
Alternate Webpage(s)	http://www.math.umn.edu/~hfw/Math/shigesadaJMB080228.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s00285-008-0168-0
Journal	Journal of mathematical biology
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions