Optimal impulsive harvesting of a single-species with Gompertz law of growth
文献类型：期刊论文
| 作者 | Zhang, YJ; Xiu, ZL; Chen, LS |
| 刊名 | JOURNAL OF BIOLOGICAL SYSTEMS
 |
| 出版日期 | 2006-06-01 |
| 卷号 | 14期号:2页码:303-314 |
| 关键词 | gompertz law maximum sustainable yield impulsive harves global attractivity |
| ISSN号 | 0218-3390 |
| 英文摘要 | In this paper we investigate the optimal harvesting problems of a single species with Gompertz law of growth. Based on continuous harvesting models, we propose impulsive harvesting models with constant harvest or proportional harvest. By using the discrete dynamical systems determined by the stroboscopic map, we discuss existence, stability and global attractivity of positive periodic solutions, and obtain the maximum sustainable yield and the corresponding optimal population level. At last, we compare the maximum sustainable yield of impulsive harvest with that of continuous harvest, and point out that proportional harvest is superior to constant harvest. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000238159400010 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3078]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, YJ |
| 作者单位 | 1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 2.Dalian Univ Technol, Dept Biosci & Biotechnol, Dalian 116024, Liaoning, Peoples R China 3.Acad Sinica, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, YJ,Xiu, ZL,Chen, LS. Optimal impulsive harvesting of a single-species with Gompertz law of growth[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2006,14(2):303-314. |
| APA | Zhang, YJ,Xiu, ZL,&Chen, LS.(2006).Optimal impulsive harvesting of a single-species with Gompertz law of growth.JOURNAL OF BIOLOGICAL SYSTEMS,14(2),303-314. |
| MLA | Zhang, YJ,et al."Optimal impulsive harvesting of a single-species with Gompertz law of growth".JOURNAL OF BIOLOGICAL SYSTEMS 14.2(2006):303-314. |
入库方式： OAI收割
来源：数学与系统科学研究院
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