Modeling and analysis in a prey-predator system with commercial harvesting and double time delays
文献类型：期刊论文
| 作者 | Liu C(刘超); Lu, Na; Zhang QL(张庆灵); Li JN(李金娜); Liu, Peiyong |
| 刊名 | Applied Mathematics and Computation
 |
| 出版日期 | 2016 |
| 卷号 | 281页码:77-101 |
| 关键词 | Maturation delay Gestation delay Economic interest Singularity induced bifurcation State feedback control Hopf bifurcation |
| ISSN号 | 0096-3003 |
| 产权排序 | 4 |
| 通讯作者 | 刘超 |
| 中文摘要 | A differential-algebraic prey-predator system with commercial harvesting on predator is proposed, where maturation delay for prey and gestation delay for predator are considered. Since commercial harvesting is dynamically influenced by variation of economic interest, we will investigate combined dynamic effects of double time delays and economic interest on population dynamics. Positivity of solutions and uniform persistence of system are studied. In the absence of time delay, by taking economic interest as bifurcation parameter, existence of singularity induced bifurcation is investigated based on differential-algebraic system theory. State feedback controllers are designed to eliminate singularity induced bifurcation and stabilize the proposed system around corresponding interior equilibrium. In the presence of double time delays, by analyzing associated characteristic transcendental equation, it is found that interior equilibrium loses local stability when double time delays cross corresponding critical values. According to Hopf bifurcation theorem for functional differential equation, existence of Hopf bifurcation is investigated as local stability switches. Based on normal form theory and center manifold theorem, directions of Hopf bifurcation and stability of the bifurcating periodic solutions are studied. Numerical simulations are carried out to show consistency with theoretical analysis. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | BIFURCATION-ANALYSIS ; FUNCTIONAL-RESPONSE ; HOPF-BIFURCATION ; STABILITY ; RESOURCE ; BEHAVIOR ; FISHERY |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000371338700006 |
| 源URL | [http://ir.sia.cn/handle/173321/17642]  |
| 专题 | 沈阳自动化研究所_工业控制网络与系统研究室 |
| 推荐引用方式 GB/T 7714 | Liu C,Lu, Na,Zhang QL,et al. Modeling and analysis in a prey-predator system with commercial harvesting and double time delays[J]. Applied Mathematics and Computation,2016,281:77-101. |
| APA | Liu C,Lu, Na,Zhang QL,Li JN,&Liu, Peiyong.(2016).Modeling and analysis in a prey-predator system with commercial harvesting and double time delays.Applied Mathematics and Computation,281,77-101. |
| MLA | Liu C,et al."Modeling and analysis in a prey-predator system with commercial harvesting and double time delays".Applied Mathematics and Computation 281(2016):77-101. |
入库方式： OAI收割
来源：沈阳自动化研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。