Dynamic analysis of a fractional-order single-species model with diffusion

Dynamic analysis of a fractional-order single-species model with diffusion

In this paper, we consider a fractional-order single-species model which is composed of several patches connected by diffusion. We first prove the existence, uniqueness, non-negativity and boundedness of solutions for the model, as desired in any population dynamics. Moreover, we also obtain some s...

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Main Authors: Hong Li Li, Long Zhang, Cheng Hu, Yao Lin Jiang, Zhidong Teng
Format: Article
Language:English
Published: Vilnius University Press 2017-05-01
Series:Nonlinear Analysis
Subjects:
uniform asymptotic stability
fractional-order
single-species model
diffusion
graph theory
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13388
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spelling doaj-0ac765559c734bcbae80ff76b5a098202020-11-24T20:51:23ZengVilnius University PressNonlinear Analysis1392-51132335-89632017-05-0122310.15388/NA.2017.3.2Dynamic analysis of a fractional-order single-species model with diffusionHong Li Li0Long Zhang1Cheng Hu2Yao Lin Jiang3Zhidong Teng4Xinjiang University, ChinaXinjiang University, ChinaXinjiang University, ChinaXinjiang University; Xi’an Jiaotong University, ChinaXinjiang University, China In this paper, we consider a fractional-order single-species model which is composed of several patches connected by diffusion. We first prove the existence, uniqueness, non-negativity and boundedness of solutions for the model, as desired in any population dynamics. Moreover, we also obtain some sufficient conditions ensuring the existence and uniform asymptotic stability of the positive equilibrium point for the investigated system. Finally, numerical simulations are presented to demonstrate the validity and feasibility of the theoretical results. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13388uniform asymptotic stabilityfractional-ordersingle-species modeldiffusiongraph theory
collection DOAJ
language English
format Article
sources DOAJ
author Hong Li Li
Long Zhang
Cheng Hu
Yao Lin Jiang
Zhidong Teng
spellingShingle Hong Li Li
Long Zhang
Cheng Hu
Yao Lin Jiang
Zhidong Teng
Dynamic analysis of a fractional-order single-species model with diffusion
Nonlinear Analysis
uniform asymptotic stability
fractional-order
single-species model
diffusion
graph theory
author_facet Hong Li Li
Long Zhang
Cheng Hu
Yao Lin Jiang
Zhidong Teng
author_sort Hong Li Li
title Dynamic analysis of a fractional-order single-species model with diffusion
title_short Dynamic analysis of a fractional-order single-species model with diffusion
title_full Dynamic analysis of a fractional-order single-species model with diffusion
title_fullStr Dynamic analysis of a fractional-order single-species model with diffusion
title_full_unstemmed Dynamic analysis of a fractional-order single-species model with diffusion
title_sort dynamic analysis of a fractional-order single-species model with diffusion
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2017-05-01
description In this paper, we consider a fractional-order single-species model which is composed of several patches connected by diffusion. We first prove the existence, uniqueness, non-negativity and boundedness of solutions for the model, as desired in any population dynamics. Moreover, we also obtain some sufficient conditions ensuring the existence and uniform asymptotic stability of the positive equilibrium point for the investigated system. Finally, numerical simulations are presented to demonstrate the validity and feasibility of the theoretical results.
topic uniform asymptotic stability
fractional-order
single-species model
diffusion
graph theory
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13388
work_keys_str_mv AT honglili dynamicanalysisofafractionalordersinglespeciesmodelwithdiffusion
AT longzhang dynamicanalysisofafractionalordersinglespeciesmodelwithdiffusion
AT chenghu dynamicanalysisofafractionalordersinglespeciesmodelwithdiffusion
AT yaolinjiang dynamicanalysisofafractionalordersinglespeciesmodelwithdiffusion
AT zhidongteng dynamicanalysisofafractionalordersinglespeciesmodelwithdiffusion
_version_ 1716802380471730176

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