Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions.
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.
Weinberger
Hans F
HF
School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN 55455, USA. hfw@math.umn.edu
Kawasaki
Kohkichi
K
Shigesada
Nanako
N
D000223:Adaptation, Psychological; D025041:Animal Migration; D000818:Animals; D003198:Computer Simulation; D017753:Ecosystem; D004641:Emigration and Immigration; D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D010507:Periodicity; D011158:Population Growth; D013997:Time Factors