Minimal Wave Speed in an Integrodifference System of Predator-Prey Type

Minimal Wave Speed in an Integrodifference System of Predator-Prey Type

This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of...

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Main Authors: Baoju Sun, Fuzhen Wu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/2704620
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spelling doaj-b567ad45598443a1b016ddb2d06f32ca2020-11-25T03:44:44ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/27046202704620Minimal Wave Speed in an Integrodifference System of Predator-Prey TypeBaoju Sun0Fuzhen Wu1Key Laboratory for Technology in Rural Water Management of Zhejiang Province, Department of Basic, Zhejiang University of Water Resources and Electric Power Hangzhou, Zhejiang 310018, ChinaKey Laboratory for Technology in Rural Water Management of Zhejiang Province, Department of Basic, Zhejiang University of Water Resources and Electric Power Hangzhou, Zhejiang 310018, ChinaThis article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds.http://dx.doi.org/10.1155/2020/2704620
collection DOAJ
language English
format Article
sources DOAJ
author Baoju Sun
Fuzhen Wu
spellingShingle Baoju Sun
Fuzhen Wu
Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
Discrete Dynamics in Nature and Society
author_facet Baoju Sun
Fuzhen Wu
author_sort Baoju Sun
title Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
title_short Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
title_full Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
title_fullStr Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
title_full_unstemmed Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
title_sort minimal wave speed in an integrodifference system of predator-prey type
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2020-01-01
description This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds.
url http://dx.doi.org/10.1155/2020/2704620
work_keys_str_mv AT baojusun minimalwavespeedinanintegrodifferencesystemofpredatorpreytype
AT fuzhenwu minimalwavespeedinanintegrodifferencesystemofpredatorpreytype
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