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 su...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2017-05-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13388 |
| _version_ | 1811310890946920448 |
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| author | Hong Li Li Long Zhang Cheng Hu Yao Lin Jiang Zhidong Teng |
| author_facet | Hong Li Li Long Zhang Cheng Hu Yao Lin Jiang Zhidong Teng |
| author_sort | Hong Li Li |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T10:08:10Z |
| format | Article |
| id | doaj.art-0ac765559c734bcbae80ff76b5a09820 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:08:10Z |
| publishDate | 2017-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-0ac765559c734bcbae80ff76b5a098202022-12-22T02:51:01ZengVilnius 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, ChinaIn 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 |
| 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 |
| title | 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_short | Dynamic analysis of a fractional-order single-species model with diffusion |
| title_sort | dynamic analysis of a fractional order single species model with diffusion |
| topic | uniform asymptotic stability fractional-order single-species model diffusion graph theory |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13388 |
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