TY - JOUR
T1 - Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions
AU - Weinberger, Hans F
AU - Kawasaki, Kohkichi
AU - Shigesada, Nanako
PY - 2008/9/1
Y1 - 2008/9/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00285-008-0168-0
DO - 10.1007/s00285-008-0168-0
M3 - Article
C2 - 18357451
AN - SCOPUS:45049084575
SN - 0303-6812
VL - 57
SP - 387
EP - 411
JO - Journal of Mathematical Biology
JF - Journal of Mathematical Biology
IS - 3
ER -