Dynamical Behaviour of a Nutrient-Plankton Model with Holling Type IV, Delay, and Harvesting

doi:10.1155/2018/9232590

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Dynamical Behaviour of a Nutrient-Plankton Model with Holling Type IV, Delay, and Harvesting
	Meng, Xin-You; Wang, Jiao-Guo; Huo, Hai-Feng
刊名	DISCRETE DYNAMICS IN NATURE AND SOCIETY
	2018
卷号	2018
ISSN号	1026-0226
DOI	10.1155/2018/9232590
英文摘要	In this paper, a Holling type IV nutrient-plankton model with time delay and linear plankton harvesting is investigated. The existence and local stability of all equilibria of model without time delay are given. Regarding time delay as bifurcation parameter, such system around the interior equilibrium loses its local stability, and Hopf bifurcation occurs when time delay crosses its critical value. In addition, the properties of the bifurcating periodic solutions are investigated based on normal form theory and center manifold theorem. What is more, the global continuation of the local Hopf bifurcation is discussed by using a global Hopf bifurcation result. Furthermore, the optimal harvesting is obtained by the Pontryagin's Maximum Principle. Finally, some numerical simulations are given to confirm our theoretical analysis.
资助项目	National Natural Science Foundation of China[11661050][11461041] ; Development Program for HongLiu Outstanding Young Teachers in Lanzhou University of Technology[Q201308]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
语种	英语
出版者	HINDAWI LTD
WOS记录号	WOS:000460392900001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/36028]
专题	理学院学科建设与学位办公室
通讯作者	Meng, Xin-You
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,Wang, Jiao-Guo,Huo, Hai-Feng. Dynamical Behaviour of a Nutrient-Plankton Model with Holling Type IV, Delay, and Harvesting[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2018,2018.
APA	Meng, Xin-You,Wang, Jiao-Guo,&Huo, Hai-Feng.(2018).Dynamical Behaviour of a Nutrient-Plankton Model with Holling Type IV, Delay, and Harvesting.DISCRETE DYNAMICS IN NATURE AND SOCIETY,2018.
MLA	Meng, Xin-You,et al."Dynamical Behaviour of a Nutrient-Plankton Model with Holling Type IV, Delay, and Harvesting".DISCRETE DYNAMICS IN NATURE AND SOCIETY 2018(2018).