Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay

Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay

This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms. By constructing upper and lower solutions, we obtain the existence of traveling wave...

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Main Authors: Fuzhen Wu, Dongfeng Li
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/4873803
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spelling doaj-e0c8933a9e08443abca105f64866bb252020-11-24T21:14:25ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/48738034873803Minimal Wave Speed in a Predator-Prey System with Distributed Time DelayFuzhen Wu0Dongfeng Li1Department of Basic, Zhejiang University of Water Resources and Electric Power, Hangzhou, Zhejiang 310018, ChinaDepartment of Basic, Zhejiang University of Water Resources and Electric Power, Hangzhou, Zhejiang 310018, ChinaThis paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms. By constructing upper and lower solutions, we obtain the existence of traveling wave solutions when the wave speed is the minimal wave speed. Our results complete the known conclusions and show the precisely asymptotic behavior of traveling wave solutions.http://dx.doi.org/10.1155/2018/4873803
collection DOAJ
language English
format Article
sources DOAJ
author Fuzhen Wu
Dongfeng Li
spellingShingle Fuzhen Wu
Dongfeng Li
Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
Discrete Dynamics in Nature and Society
author_facet Fuzhen Wu
Dongfeng Li
author_sort Fuzhen Wu
title Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
title_short Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
title_full Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
title_fullStr Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
title_full_unstemmed Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
title_sort minimal wave speed in a predator-prey system with distributed time delay
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2018-01-01
description This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms. By constructing upper and lower solutions, we obtain the existence of traveling wave solutions when the wave speed is the minimal wave speed. Our results complete the known conclusions and show the precisely asymptotic behavior of traveling wave solutions.
url http://dx.doi.org/10.1155/2018/4873803
work_keys_str_mv AT fuzhenwu minimalwavespeedinapredatorpreysystemwithdistributedtimedelay
AT dongfengli minimalwavespeedinapredatorpreysystemwithdistributedtimedelay
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