| 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) | |
| Department | 工业控制网络与系统研究室 |
| Source Publication | ABSTRACT AND APPLIED ANALYSIS
 |
| ISSN | 1085-3375 |
| 2013 | |
| Pages | 1-16 |
| Indexed By | SCI |
| WOS ID | WOS:000323008700001 |
| Contribution Rank | 3 |
| Funding Organization | 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 |
| Abstract | 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. |
| Language | 英语 |
| WOS Headings | Science & Technology ; Physical Sciences |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS Keyword | INFECTIOUS-DISEASES ; FISHERY ; SYSTEM ; STRATEGIES ; DYNAMICS ; RESOURCE ; DELAY |
| WOS Research Area | Mathematics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.sia.cn/handle/173321/12540 |
| Collection | 工业控制网络与系统研究室 |
| Corresponding Author | Liu C(刘超) |
| Affiliation | 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 |
| Recommended Citation 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. |
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| Global Stability Ana（1548KB） | 期刊论文 | 出版稿 | 开放获取 | ODC PDDL | View Download | |
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