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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
ISSN1085-3375
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
被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
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
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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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