Feedback regulation of logistic growth
Sufficient conditions are obtained for the global asymptotic stability of the positive equilibrium of a regulated logistic growth with a delay in the state feedback of the control modelled by dn(t)dt=rn(t)[1−(a1n(t)+a2n(t−τ)K)−cu(t)]dn(t)dt=−au(t)+bn(t−τ) where u denotes an indirect control variable...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000213 |
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| _version_ | 1850226866333417472 |
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| author | K. Gopalsamy Pei-Xuan Weng |
| author_facet | K. Gopalsamy Pei-Xuan Weng |
| author_sort | K. Gopalsamy |
| collection | DOAJ |
| description | Sufficient conditions are obtained for the global asymptotic stability of the positive equilibrium of a regulated logistic growth with a delay in the state feedback of the control modelled by
dn(t)dt=rn(t)[1−(a1n(t)+a2n(t−τ)K)−cu(t)]dn(t)dt=−au(t)+bn(t−τ)
where u denotes an indirect control variable, r,a2,τ,a,b,c∈(0,∞) and
a1∈[0,∞). |
| format | Article |
| id | doaj-art-562b76deaa3d433aa606508d0c3c1a9a |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-562b76deaa3d433aa606508d0c3c1a9a2025-08-20T02:04:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116117719210.1155/S0161171293000213Feedback regulation of logistic growthK. Gopalsamy0Pei-Xuan Weng1School of Infonmation Science and Technology, Flinders University, G.P.O. Box 2100, Adelaide 5001, AustraliaSchool of Infonmation Science and Technology, Flinders University, G.P.O. Box 2100, Adelaide 5001, AustraliaSufficient conditions are obtained for the global asymptotic stability of the positive equilibrium of a regulated logistic growth with a delay in the state feedback of the control modelled by dn(t)dt=rn(t)[1−(a1n(t)+a2n(t−τ)K)−cu(t)]dn(t)dt=−au(t)+bn(t−τ) where u denotes an indirect control variable, r,a2,τ,a,b,c∈(0,∞) and a1∈[0,∞).http://dx.doi.org/10.1155/S0161171293000213global asymptotic stabilitylogistic growthfeedback regulation. |
| spellingShingle | K. Gopalsamy Pei-Xuan Weng Feedback regulation of logistic growth International Journal of Mathematics and Mathematical Sciences global asymptotic stability logistic growth feedback regulation. |
| title | Feedback regulation of logistic growth |
| title_full | Feedback regulation of logistic growth |
| title_fullStr | Feedback regulation of logistic growth |
| title_full_unstemmed | Feedback regulation of logistic growth |
| title_short | Feedback regulation of logistic growth |
| title_sort | feedback regulation of logistic growth |
| topic | global asymptotic stability logistic growth feedback regulation. |
| url | http://dx.doi.org/10.1155/S0161171293000213 |
| work_keys_str_mv | AT kgopalsamy feedbackregulationoflogisticgrowth AT peixuanweng feedbackregulationoflogisticgrowth |