| Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation | |
| Liu C(刘超); Zhang QL(张庆灵); Li JN(李金娜) | |
| 作者部门 | 工业控制网络与系统研究室 |
| 发表期刊 | ABSTRACT AND APPLIED ANALYSIS
 |
| ISSN | 1085-3375 |
| 2013 | |
| 页码 | 1-16 |
| 收录类别 | SCI |
| WOS记录号 | WOS:000323008700001 |
| 产权排序 | 3 |
| 资助机构 | National Natural Science Foundation of China [61104003, 61273008, 61104093]; Research Foundation for Doctoral Program of Higher Education of Education Ministry [20110042120016]; Hebei Province Natural Science Foundation [F2011501023]; Fundamental Research Funds for the Central Universities [N120423009]; Research Foundation for Science and Technology Pillar Program of Northeastern University at Qinhuangdao [XNK201301]; State Key Laboratory of Integrated Automation of Process Industry, Northeastern University; Hong Kong Admission Scheme for Mainland Talents and Professionals, Hong Kong Special Administrative Region |
| 摘要 | We propose an ecoepidemiological prey predator model, where selective harvest effort on predator population is considered. Vaccination and taxation are introduced as control instruments, which are utilized to control number of susceptible prey population and protect predator population from overexploitation, respectively. Conditions which influence nonnegativity and boundedness of solutions are studied. Global stability analysis around disease-free equilibrium is discussed based on robust Bendixson criterion, which is theoretically beneficial to studying coexistence and interaction mechanism of population within harvested ecoepidemiological system. By using Pontryagin's maximum principle, an optimal control strategy is derived to maximize the total discounted net economic revenue to society as well as protect prey population from infectious disease. Numerical simulations are carried out to show the consistency with theoretical analysis. |
| 语种 | 英语 |
| WOS标题词 | Science & Technology ; Physical Sciences |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 关键词[WOS] | INFECTIOUS-DISEASES ; FISHERY ; SYSTEM ; STRATEGIES ; DYNAMICS ; RESOURCE ; DELAY |
| WOS研究方向 | Mathematics |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.sia.cn/handle/173321/12540 |
| 专题 | 工业控制网络与系统研究室 |
| 通讯作者 | Liu C(刘超) |
| 作者单位 | 1.Institute of Systems Science, Northeastern University, Shenyang 110004, China 2.State Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang 110004, China 3.Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110004, China |
| 推荐引用方式 GB/T 7714 | Liu C,Zhang QL,Li JN. Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation[J]. ABSTRACT AND APPLIED ANALYSIS,2013:1-16. |
| APA | Liu C,Zhang QL,&Li JN.(2013).Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation.ABSTRACT AND APPLIED ANALYSIS,1-16. |
| MLA | Liu C,et al."Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation".ABSTRACT AND APPLIED ANALYSIS (2013):1-16. |
| 条目包含的文件 | 下载所有文件 | |||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
| Global Stability Ana（1548KB） | 期刊论文 | 出版稿 | 开放获取 | ODC PDDL | 浏览 下载 | |
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。
修改评论