NDLI: Dynamical analysis and control in a differential-algebraic bio-economic model with stage structure

Content Provider	IEEE Xplore Digital Library
Author	Liu Chao Tang Wansheng Zhang Qingling Huang, J.
Copyright Year	2011
Description	Author affiliation: Institute of Systems Science, Northeastern University, Shenyang 110004, China (Zhang Qingling) \|\| Institute of Systems Engineering, Tianjin University, 300072, China (Liu Chao; Tang Wansheng) \|\| Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong (Huang, J.)
Abstract	Nowadays, biological resource in prey-predator ecosystem is commercially harvested and sold with aim of achieving economic interest. Furthermore, harvest effort is usually influenced by variation of economic interest of harvesting. In this paper, a delayed differential-algebraic bio-economic model is proposed, which is utilized to investigate interaction and coexistence mechanism of biological population in the harvested ecosystem due to the variation of economic interest of harvesting. Local stability analysis of the proposed model reveals that there is a phenomenon of singularity induced bifurcation due to the variation of economic interest of harvesting, and state feedback controllers are designed to stabilize the proposed model at the interior equilibrium. Furthermore, local stability of the proposed model with gestation delay and diffusion is studied, which reveals that the interior equilibrium loses its stability at some critical values of gestation delay and corresponding cycle occurs. Finally, numerical simulations are carried out to show consistency with theoretical analysis obtained in this paper.
Starting Page	5635
Ending Page	5640
File Size	161076
Page Count	6
File Format	PDF
ISBN	9781457706776
ISSN	21612927
e-ISBN	9789881725592
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-22
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Chinese Assoc of Automati
Subject Keyword	Economics Analytical models State feedback control Economic interest Biological system modeling Prey-predator Bifurcation Harvest effort Mathematical model Delay
Content Type	Text
Resource Type	Article

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