Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions
Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions
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DOI：
10.1007/s00285-008-0168-0
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发表时间：
2008-03
影响因子：
1.9
通讯作者：
H. Weinberger;Kohkichi Kawasaki;N. Shigesada
中科院分区：
文献类型：
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作者：
H. Weinberger;Kohkichi Kawasaki;N. Shigesada
Thieme(J.Math.Biol.8,173-187,1979)被推广到一类周期变化的生境的积分-差分模型，即使当招募函数R(u，x)不是不变的inu时，也存在一个传播速度和公式，从而发生过补偿。数值模拟说明了初值在有界集之外消失的递归的解的行为。
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 functionR(u,x) is not nondecreasing inu, so that overcompensation occurs. Numerical simulations illustrate the behavior of solutions of the recursion whose initial values vanish outside a bounded set.