Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients
We study a time-dependent logistic equation with periodic coefficients. First, we show that the impulsive harvest population equation has impulsive periodic solutions for constant effort harvest and for proportional harvest. Second, we investigate the optimal harvest effort that maximizes the sustai...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2003-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/121/abstr.html |
| _version_ | 1818832751022833664 |
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| author | Ling Bai Ke Wang |
| author_facet | Ling Bai Ke Wang |
| author_sort | Ling Bai |
| collection | DOAJ |
| description | We study a time-dependent logistic equation with periodic coefficients. First, we show that the impulsive harvest population equation has impulsive periodic solutions for constant effort harvest and for proportional harvest. Second, we investigate the optimal harvest effort that maximizes the sustainable yield per unit of time. Then we determine the corresponding optimal population levels. Our results generalize the results presented in [10]. |
| first_indexed | 2024-12-19T02:08:00Z |
| format | Article |
| id | doaj.art-80d7543c4d7848279e5a92ceee3ca187 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T02:08:00Z |
| publishDate | 2003-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-80d7543c4d7848279e5a92ceee3ca1872022-12-21T20:40:53ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-12-01200312119Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficientsLing BaiKe WangWe study a time-dependent logistic equation with periodic coefficients. First, we show that the impulsive harvest population equation has impulsive periodic solutions for constant effort harvest and for proportional harvest. Second, we investigate the optimal harvest effort that maximizes the sustainable yield per unit of time. Then we determine the corresponding optimal population levels. Our results generalize the results presented in [10].http://ejde.math.txstate.edu/Volumes/2003/121/abstr.htmlImpulsive harvest equationglobal attractoroptimal impulsive harvest policy |
| spellingShingle | Ling Bai Ke Wang Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients Electronic Journal of Differential Equations Impulsive harvest equation global attractor optimal impulsive harvest policy |
| title | Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients |
| title_full | Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients |
| title_fullStr | Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients |
| title_full_unstemmed | Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients |
| title_short | Optimal impulsive harvest policy for time-dependent logistic equation with periodic coefficients |
| title_sort | optimal impulsive harvest policy for time dependent logistic equation with periodic coefficients |
| topic | Impulsive harvest equation global attractor optimal impulsive harvest policy |
| url | http://ejde.math.txstate.edu/Volumes/2003/121/abstr.html |
| work_keys_str_mv | AT lingbai optimalimpulsiveharvestpolicyfortimedependentlogisticequationwithperiodiccoefficients AT kewang optimalimpulsiveharvestpolicyfortimedependentlogisticequationwithperiodiccoefficients |