The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficient
The asymptotic stability of a discrete logistic model with random growth coefficient is studied in this paper. Firstly, the discrete logistic model with random growth coefficient is built and reduced into its deterministic equivalent system by orthogonal polynomial approximation. Then, the linear st...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2014-01-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034915302865 |
| _version_ | 1818514180431413248 |
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| author | Shaojuan Ma Duan Dong |
| author_facet | Shaojuan Ma Duan Dong |
| author_sort | Shaojuan Ma |
| collection | DOAJ |
| description | The asymptotic stability of a discrete logistic model with random growth coefficient is studied in this paper. Firstly, the discrete logistic model with random growth coefficient is built and reduced into its deterministic equivalent system by orthogonal polynomial approximation. Then, the linear stability theory and the Jury criterion of nonlinear deterministic discrete systems are applied to the equivalent one. At last, by mathematical analysis, we find that the parameter interval for asymptotic stability of nontrivial equilibrium in stochastic logistic system gets smaller as the random intensity or statistical parameters of random variable is increased and the random parameter's influence on asymptotic stability in stochastic logistic system becomes prominent. |
| first_indexed | 2024-12-11T00:12:08Z |
| format | Article |
| id | doaj.art-f433c1c909a14ae58df8f15dac64edd2 |
| institution | Directory Open Access Journal |
| issn | 2095-0349 |
| language | English |
| last_indexed | 2024-12-11T00:12:08Z |
| publishDate | 2014-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj.art-f433c1c909a14ae58df8f15dac64edd22022-12-22T01:28:06ZengElsevierTheoretical and Applied Mechanics Letters2095-03492014-01-014110.1063/2.1401304The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficientShaojuan MaDuan DongThe asymptotic stability of a discrete logistic model with random growth coefficient is studied in this paper. Firstly, the discrete logistic model with random growth coefficient is built and reduced into its deterministic equivalent system by orthogonal polynomial approximation. Then, the linear stability theory and the Jury criterion of nonlinear deterministic discrete systems are applied to the equivalent one. At last, by mathematical analysis, we find that the parameter interval for asymptotic stability of nontrivial equilibrium in stochastic logistic system gets smaller as the random intensity or statistical parameters of random variable is increased and the random parameter's influence on asymptotic stability in stochastic logistic system becomes prominent.http://www.sciencedirect.com/science/article/pii/S2095034915302865stochastic logistic modelrandom growth coefficientasymptotic stability |
| spellingShingle | Shaojuan Ma Duan Dong The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficient Theoretical and Applied Mechanics Letters stochastic logistic model random growth coefficient asymptotic stability |
| title | The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficient |
| title_full | The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficient |
| title_fullStr | The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficient |
| title_full_unstemmed | The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficient |
| title_short | The asymptotic stability analysis in stochastic logistic model with Poisson growth coefficient |
| title_sort | asymptotic stability analysis in stochastic logistic model with poisson growth coefficient |
| topic | stochastic logistic model random growth coefficient asymptotic stability |
| url | http://www.sciencedirect.com/science/article/pii/S2095034915302865 |
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