An extension of the formula for spreading speeds

1.
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
2.
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7

Received: 01 April 2009 Accepted: 29 June 2018 Published: 01 January 2010
MSC : Primary: 37L15, 39A11; Secondary: 92D25.

A well-known formula for the spreading speed of a discrete-time recursion model is extended to a class of problems for which its validity was previously unknown. These include migration models with moderately fat tails or fat tails. Examples of such models are given.
- integrodifference equations,
- linear determinacy.,
- spreading speeds,
- discrete-time recursions
Citation: Hans F. Weinberger, Xiao-Qiang Zhao. An extension of the formula for spreading speeds[J]. Mathematical Biosciences and Engineering, 2010, 7(1): 187-194. doi: 10.3934/mbe.2010.7.187

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Abstract

A well-known formula for the spreading speed of a discrete-time recursion model is extended to a class of problems for which its validity was previously unknown. These include migration models with moderately fat tails or fat tails. Examples of such models are given.
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