BIFURCATION ANALYSIS OF A SINGULAR NUTRIENT-PLANKTON-FISH MODEL WITH TAXATION, PROTECTED ZONE AND MULTIPLE DELAYS

doi:10.3934/naco.2020010

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	BIFURCATION ANALYSIS OF A SINGULAR NUTRIENT-PLANKTON-FISH MODEL WITH TAXATION, PROTECTED ZONE AND MULTIPLE DELAYS
	Meng, Xin-You; Wu, Yu-Qian; Li, Jie
刊名	NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION
	2020-09-01
卷号	10 期号:3 页码:391-423
关键词	Nutrient-plankton-fish model Free fishing zone Taxation Singularity induced bifurcation Hopf bifurcation Pontryagin's maximum principle
ISSN号	2155-3289
DOI	10.3934/naco.2020010
英文摘要	A differential algebraic nutrient-plankton-fish model with taxation, free fishing zone, protected zone and multiple delays is investigated in this paper. First, the conditions of existence and control of singularity induced bifurcation are given by regarding economic interest as bifurcation parameter. Meanwhile, the existence of Hopf bifurcations are investigated when migration rates, taxation and the cost per unit harvest are taken as bifurcation parameters respectively. Next, the local stability of the interior equilibrium, existence and properties of Hopf bifurcation are discussed in the different cases of five delays. Furthermore, the optimal tax policy is obtained by using Pontryagin's maximum principle. Finally, some numerical simulations are presented to demonstrate analytical results.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000548177100011
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155631]
专题	理学院
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xin-You,Wu, Yu-Qian,Li, Jie. BIFURCATION ANALYSIS OF A SINGULAR NUTRIENT-PLANKTON-FISH MODEL WITH TAXATION, PROTECTED ZONE AND MULTIPLE DELAYS[J]. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION,2020,10(3):391-423.
APA	Meng, Xin-You,Wu, Yu-Qian,&Li, Jie.(2020).BIFURCATION ANALYSIS OF A SINGULAR NUTRIENT-PLANKTON-FISH MODEL WITH TAXATION, PROTECTED ZONE AND MULTIPLE DELAYS.NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION,10(3),391-423.
MLA	Meng, Xin-You,et al."BIFURCATION ANALYSIS OF A SINGULAR NUTRIENT-PLANKTON-FISH MODEL WITH TAXATION, PROTECTED ZONE AND MULTIPLE DELAYS".NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION 10.3(2020):391-423.