An extension of the formula for spreading speeds

2010, Volume 7, Issue 1: 187-194. doi: 10.3934/mbe.2010.7.187

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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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