Dissertation > Excellent graduate degree dissertation topics show

The Optimal Control Problem of Two Size-structured Population Models

Author: ZhangHui
Tutor: ZhaoChun
School: Tianjin Normal University
Course: Applied Mathematics
Keywords: size-structured stationary solution the stability the optimal coutrol
CLC: O175
Type: Master's thesis
Year: 2013
Downloads: 4
Quote: 0
Read: Download Dissertation


The optimal control of population system is a theorv which is closely related with the ecological balance.the biological diversification and the exploitation of renewable resources.By now,a lot of scholars have studied the control of age-structured population.and they have had a. lot of important results.In the same time.studying of Size-structured population is increasing popular.Size means a set of continuous indexes to target individuals.such as length.volume and so on.The applicability of Size-structured is better than the applicability of age-structured.This paper considers the optimal control problem of two Size-structured population models.This pa-per considers the optimal control problem of two Size-structured population models According to the contents.it is divided into three chapters:In the first chapter, it introduces the background.the present study situation and tin. preparative theories.In the second chapter.the stability conditions lor the stationarv solutien of a two-specie competitive size-structured population model is considered.The existence and uniqueness of the stationary solution arc proved by means ot fixed point theorem.The characteristic equation for the stationary solution is established by the knowledge of the ordinary diffeieutial equation.In the third chapter, the optimal control problem for inputting rate of a size-structured population model is studied.By the Banach fixed-point theorem.the existence and uniqueness of the solution are proved.The continuous dependence of the solution on control variable is given by using characteristic method.The necessary condition of optimality is derived by using the conception of normal cone and adjoint system

Related Dissertations

  1. Analysis and Study of Abutment Stability in Concrete High Arch Dam by Three-Dimensional Nonlinear Finite Element Method,TV642.4
  2. The Study on Structural Calculation and Analysis Method of Lattice-type Crane with Variable Cross-section Boom,TH21
  3. Power System Dynamic Voltage Stability Simulation Study Based on Precise Integration Method,TM712
  4. Simulation and Analysis about Switched Reluctance Generator Power Supply System,TM31
  5. Research and Design for the Laser’s Power Control System of Laser Direct Writing,TN249
  6. Stability Analysis of Systems with Time Delays,TP13
  7. Research on Input-To-State Stability of Discrete-Time Nonlinear Systems,TP13
  8. Astudy on Samuel Huntington’s Theory of Political Stability,D09
  9. Stability Analysis of Roller Compacted Concrete Gravity Dam Based on Time-history Method,TV642.2
  10. Thermal Stability of Complexes of Chitosan Quaternary Ammonium Salt and Metal Ion,O634
  11. Synthesis and Application of the chloro- methoxy fatty acid methyl esters,TQ414.8
  12. Research on Anti-periodic Solutions of Delayed Cellular Neural Networks without Assuming Global Lipschitz Conditions,TP183
  13. Preparation and Properties of lead-free glass powder,TQ171.6
  14. Preparation and Evaluation on the Toxicological Safety and Stability of Deer Blood Wine,TS262.91
  15. Generator Excitation System of the Anti-saturation Control,TM301.2
  16. Self-reported Psychosomatic Pathological Status among Adolescent Students: a School-based Cohort Study,B844.2
  17. The Research of Transgenic Carnation Genetic Stability and the Impact on Soil microbial Community,S682.19
  18. Study on Exploitation and Application of Beer Clarifier,TS262.5
  19. The Influence on the Dimensional Stability and Elastic Deformation Caused by Two Types of Disinfectant Solution to Different Impression Material,R783
  20. Amiodarone Hydrochloride Injection Compatible Stability of,R942
  21. High hydrothermal stability of nickel-based catalyst and hydrogenation of butyne diol,TQ223.162

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
© 2012 www.DissertationTopic.Net  Mobile