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DYNAMICAL ANALYSIS AND CONTROL IN A DELAYED DIFFERENTIAL-ALGEBRAIC BIO-economic MODEL WITH STAGE STRUCTURE AND DIFFUSION

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International Journal of Biomathematics 2012年第2期5卷 1-31页

作者： CHAO LIU QINGLING ZHANG JAMES HUANG WANSHENG TANG Institute of Systems Science Northeastern University ShenyangP.R.China Department of Applied MathematicsHong Kong Polytechnic University Hong Kong Institute of Systems EngineeringTianjin University TianjinP.R.China

Nowadays, biological resource in prey-predator ecosystem is commercially harvested and sold with aim of achieving economic interest. Furthermore, harvest effort is usually influ- enced by variation of economic interest of harvesting and spatial heterogeneous environ- ment. In this paper, a delayed differential-algebraic bio-economic model is proposed, which is utilized to investigate interaction and coexistence mechanism of biological pop- ulation in the harvested ecosystem due to the variation of economic interest of harvesting as well as the change of population spatial diffusion and gestation delay. Local stability analysis of the proposed model without gestation delay and diffusion 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 pro- posed model at the interior equilibrium. Furthermore, local stability of the proposed model with gestation delay and diffusion is studied, which reveals that the interior equi- librium loses its stability at some critical values of gestation delay and corresponding cycle occurs. It is also shown that population spatial diffusion and harvesting have a stabilizing effect on population dynamics. Finally, numerical simulations are carried out to show consistency with theoretical analysis obtained in this paper.

关键词： Prey-predator harvest effort economic interest bifurcation state feedbackcontrol.

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GENERALIZED PREDICTIVE CONTROL FOR DIFFERENCE-ALGEBRAIC BIOLOGICAL economic SYSTEMS

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International Journal of Biomathematics 2013年第6期6卷 1-16页

作者： HONG NIU QINGLING ZHANG Institute of System Science Northeastern University 110819 Shenyang P R. China College of Science Liaoning Shihua University 113001 Fushun P. R. China Institute of System Science Northeastern University 110819 Shenyang P. R. China

In this paper, a nonlinear difference-algebraic system is used to model some populations with stage structure when the harvest behavior and the economic interest are considered. The stability analysis is studied at the equilibrium points. After the non- linear difference-algebraic system is changed into a linear system with the unmodeled dynamics, a generalized predictive controller with feedforward compensator is designed to stabilize the system. Adaptive-network-based fuzzy inference system （ANFIS） is used to make the unmodeled dynamic compensated. An example illustrates the effectiveness of the proposed control method.

关键词： Difference-algebraic system economic interest generalized predictive control ANFIS.

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少数民族经济利益探析

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民族问题研究 2003年第10期 7-12页

作者：雷振扬

少数民族经济利益是指对少数民族生存与发展起积极作用的经济上的需要和好处。经济利益是少数民族的根本利益。在市场经济条件下，维护和发展少数民族经济利益，对于发展社会主义民族关系，维护民族团结和社会稳定，全面建设小康社会具... 详细信息

少数民族经济利益是指对少数民族生存与发展起积极作用的经济上的需要和好处。经济利益是少数民族的根本利益。在市场经济条件下，维护和发展少数民族经济利益，对于发展社会主义民族关系，维护民族团结和社会稳定，全面建设小康社会具有重要意义。发展民族经济，提高物质生活水平，克服市场经济造成的不利影响，改善生存环境，是现阶段少数民族最基本的经济利益需求。实现和发展少数民族的经济利益，既要依靠少数民族的艰苦奋斗，也要充分发挥国家在经济利益调节方面的作用，还需要全国人民的大力支持。

关键词：少数民族经济利益对策分析 ethnic groups economic interest countermeasure

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Dynamic Analysis and Control in a Differential-algebraic Harmful Phytoplankton Blooms Model

Dynamic Analysis and Control in a Differential-algebraic Har...

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2010 Chinese Control and Decision Conference

作者： James Huang Department of Applied Mathematics Hong Kong Polytechnic University

＜正＞A harvested allelopathic two-species phytoplankton ecosystem is investigated by a differential-algebraic *** using the differential-algebraic system theory and bifurcation theory,local stability of the proposed model around the interior equilibrium is ***,instability mechanism of the proposed model due to variation of economic interest of harvesting is *** the purpose of stabilizing the proposed model around the interior equilibrium and maintaining the economic interest of harvesting at an ideal level,state feedback controllers are designed. Finally,numerical simulations are carried out to show the effectiveness of designed controllers.

关键词： Differential-algebraic model Singularity induced bifurcation Harvest effort economic interest

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The dynamics and control of a harvested differential-algebraic prey-predator model

The dynamics and control of a harvested differential-algebra...

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2011 Chinese Control and Decision Conference（CCDC）

作者： James Huang Applied Mathematics Department Hongkong Polytechnic University

A differential-algebraic model which discusses a prey-predator system with harvest effort on predator is *** using the differential-algebraic system theory and bifurcation theory,local stability of the proposed model around the interior equilibrium is *** instability mechanism of the proposed model due to the variation of economic interest of harvesting is *** order to stabilize the proposed model around the interior equilibrium and maintain the economic interest of harvesting at an ideal level,a state feedback controller is ***,numerical simulations are carried out to show the consistency with theoretical analysis.

关键词： differential-algebraic model prey-predator singularity induced bifurcation harvesting economic interest

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Dynamics and Control in a Differential-algebraic Prey-predator Model

Dynamics and Control in a Differential-algebraic Prey-predat...

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2009中国控制与决策会议

作者： Chao Liu~(1,2),Qingling Zhang~2,Jixin Wang~3 1.Department of Information and Computational Science,Northeastern University at Qinhuangdao,Qinhuangdao 066004,P.R.China 2.Institute of Systems Science,Northeastern University,Shenyang 110004,P.R.China 3.Automation Engineering Institute,Beijing Vocational College of Electronic Science,Beijing,102600,P.R.China

A differential-algebraic model is proposed,which investigates a prey-predator system with stage structure for predator and harvest effort on mature *** using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around interior equilibrium is ***,instability mechanism of the proposed model due to variation of economic interest of harvesting is *** the purpose of stabilizing the proposed model system around the interior equilibrium,a state feedback controller is ***,numerical simulations are carried out to show the consistency with theoretical analysis.

关键词： Differential-algebraic Model Bifurcation Harvest Effort economic interest

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Dynamical Analysis and Control in a Differential-algebraic Bio-economic Model with Stage Structure

Dynamical Analysis and Control in a Differential-algebraic B...

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第三十届中国控制会议

作者： HUANG James Department of Applied Mathematics Hong Kong Polytechnic University

＜正＞Nowadays,biological resource in prey-predator ecosystem is commercially harvested and sold with aim of achieving economic ***,harvest effort is usually influenced by variation of economic interest of *** 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 *** 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 ***,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 ***, numerical simulations are carried out to show consistency with theoretical analysis obtained in this paper.

关键词： Prey-predator Harvest effort economic interest Bifurcation State feedback control

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Dynamical Behavior in A Differential-Algebraic Algal Blooms Model

Dynamical Behavior in A Differential-Algebraic Algal Blooms ...

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第二十七届中国控制会议

作者： Zhang Qingling1,2,Liu Chao1,2 1.Institute of Systems Science,Northeastern University,Shenyang,Liaonig 110004,P.R.China 2.Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University,Shenyang,Liaonig 110004,P.R.China

In this paper,we consider a differential-algebraic model which links the outbreak and biological control strategy of algal *** the proposed mathematical model,two interacting algal species are investigated by a two-species Lotka-Volterra competition differential model,and an algebraic equation is presented to study the economic interest of harvest effort on some *** occurrence mechanism of algal blooms is revealed by analyzing the local stability of the proposed model system at the interior ***,the instability mechanism of the proposed model system due to the variation of economic interest of harvesting is *** the purpose of eliminating the algal blooms and maintaining the economic interest of harvesting at an ideal level,a biological control strategy corresponding to a state feedback controller in the proposed model system is ***,a numerical simulation is carried out to show the consistency with theoretical analysis obtained in this paper.

关键词： Algal blooms Differential-algebraic model Harvesting economic interest

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Dynamical Analysis of a Differential-Algebraic Bioeconomic Model with Stage Structure and Maturation Delay 26th

Dynamical Analysis of a Differential-Algebraic Bioeconomic M...

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第26届中国控制与决策会议

作者： Chao Liu Yuanke Li Can Tong Institute of Systems Science Northeastern University Institute of Mathematics and Statistics Northeastern University at Qinhuangdao

ISBN: (纸本)9781479937097

In this paper, a stage structured prey-predator-resource model with maturation delay is established, where resource biomass is harvested. Persistence of solutions of model system is studied. Dynamic analysis of model system with maturation delay is investigated, which shows that interior equilibrium loses its stability at some critical values of maturation delay and economic interest of harvesting. Further discussion shows that maturation delay to preserve stability increases with the introduction of harvest effort into bioeconomic prey-predator-resource model.

关键词： harvest effort,prey-predator-resource model economic interest maturation delay

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Prospective Aspects Regarding the Geopolitics of Special Resources

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Chinese Business Review 2021年第3期20卷 81-99页

作者： Alexandru Daia Stancu Stelian Bucharest University of economic Studies BucharestRomania

The article aims to explore special resources by identifying and their geographical distribution,economic and scientific interest surrounding these rare earth ***,it highlights some of the achievements of using these ... 详细信息

关键词： special resources top technologies economic interest prospective

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