Long-time behavior of a nonlocal dispersal logistic model with seasonal succession

This paper is devoted to a nonlocal dispersal logistic model with seasonal succession in one-dimensional bounded habitat, where the seasonal succession accounts for the effect of two different seasons. Firstly, we provide the persistence-extinction criterion for the species, which is different from...

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Main Authors: Zhenzhen Li, Binxiang Dai
Format: Article
Language:English
Published: Western Libraries 2022-12-01
Series:Mathematics in Applied Sciences and Engineering
Subjects:
Online Access:https://ojs.lib.uwo.ca/index.php/mase/article/view/15415
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author Zhenzhen Li
Binxiang Dai
author_facet Zhenzhen Li
Binxiang Dai
author_sort Zhenzhen Li
collection DOAJ
description This paper is devoted to a nonlocal dispersal logistic model with seasonal succession in one-dimensional bounded habitat, where the seasonal succession accounts for the effect of two different seasons. Firstly, we provide the persistence-extinction criterion for the species, which is different from that for local diffusion model. Then we show the asymptotic profile of the time-periodic positive solution as the species persists in long run.
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spelling doaj.art-4f769f6762a94a6fb0351fbd76baf3b42023-03-31T20:25:48ZengWestern LibrariesMathematics in Applied Sciences and Engineering2563-19262022-12-013424926810.5206/mase/154159658Long-time behavior of a nonlocal dispersal logistic model with seasonal successionZhenzhen Li0Binxiang Dai1Central South UniversityCentral South UniversityThis paper is devoted to a nonlocal dispersal logistic model with seasonal succession in one-dimensional bounded habitat, where the seasonal succession accounts for the effect of two different seasons. Firstly, we provide the persistence-extinction criterion for the species, which is different from that for local diffusion model. Then we show the asymptotic profile of the time-periodic positive solution as the species persists in long run.https://ojs.lib.uwo.ca/index.php/mase/article/view/15415nonlocal dispersalseasonal successionpersistence-extinction
spellingShingle Zhenzhen Li
Binxiang Dai
Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
Mathematics in Applied Sciences and Engineering
nonlocal dispersal
seasonal succession
persistence-extinction
title Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
title_full Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
title_fullStr Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
title_full_unstemmed Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
title_short Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
title_sort long time behavior of a nonlocal dispersal logistic model with seasonal succession
topic nonlocal dispersal
seasonal succession
persistence-extinction
url https://ojs.lib.uwo.ca/index.php/mase/article/view/15415
work_keys_str_mv AT zhenzhenli longtimebehaviorofanonlocaldispersallogisticmodelwithseasonalsuccession
AT binxiangdai longtimebehaviorofanonlocaldispersallogisticmodelwithseasonalsuccession