Dissertation > Excellent graduate degree dissertation topics show

The Solution for a Class of Nonlinear Population Dynamics with Migration Perturbations

Author: ChenYanLing
Tutor: SunTao
School: Northeastern University
Course: Basic mathematics
Keywords: nonlinear equation successive approximation method characteristic line uniform convergence existence and uniqueness
CLC: O241.82
Type: Master's thesis
Year: 2008
Downloads: 25
Quote: 0
Read: Download Dissertation


With the development of science, sociology and population problems have always been closely linked and being considered as a pure social science aspect. But now with the achievements of scientific and technological, the population problem has not been the only subject of social science studies. When it combines with modern mathematics achievement, we can see more clearly of the population and substance. Population change is determined by many factors in a society. However, birth, death and migration of residents are the direct cause of population changes. All the factors on the number of the population are affected by the phenomenon. If we could establish the relation, we can get a population equation model. Investigated the population of a stable social groups, theoretical analysis and the actual statistics indicate that population changes has something with time and age’s continuous changes. These are the most direct reasons that effect both births and deaths, so we can use a partial differential equation to describe it. Considering the environment, employment conditions, too much population is linked to the total population. The population model is an extensive population issues partial differential equation model. It is Malthusian population model and the further promotion of Verhulst model. So to research on population issues is to study such problems.This paper has three parts. ChapterⅠ:Introduction on the background of the population equation. ChapterⅡ:Preliminary. We introduced the concept and nature of population function, the nature of the series and integral variables points. ChapterⅢ:Focuses on the derivation of the model. Taking into account of mortality have something with the total population, and the immigrant population model. In the conditions of the certain initial boundary value, assuming zero order compatible conditions and a first band compatible conditions are established, we adopt appropriate transformation and gradually approximation method to solve the problem. We deduce the expressions and properties of the solutions, and prove the existence and uniqueness of solutions. The population density function we get reflect the regular of population development process as the changes of ages and time, so that we could control the population development process more accurately.

Related Dissertations

  1. Foundations of the Statistical Learning Theory with Samples Corrupted by Equality-expected Noise on Quasi-probability Spaces,O211
  2. The Generalized Sample Solutions of Stochastic Differential Equations,O211.63
  3. An Attension and Application of Krasnoselski Theorem,O175.25
  4. The Theoretical Foundations of Statistical Learning Theory Based on Fuzzy Random Sets on Set-valued Probability Space,O21-4
  5. The Existence Uniqueness and Stability of the Solutions to Stochastic Volterra Equations,O211.63
  6. Mean-reverting θ Process with Time Delay and the Convergence of Its Numerical Solutions,F830
  7. Global Existence and Uniqueness of Solution for a Class of Non-Newtonian Fluids,O175.8
  8. Lotka-Volterra Ecological Systems,O175.2
  9. The Properties for Solutions of the Infinite Horizon Backward Doubly Stochastic Differential Equations,O211.63
  10. Existence and uniqueness of weak solution of the unsteady Navier-Stokes equations with damping term,O175.8
  11. Posedness of steady Boussinesq equation with damping term weak solution,O175.2
  12. On the Monte Carlo Method of Compounding Elastic Structure,O242.2
  13. Domain Decomposition Method of Mixed Finite Element,O241.82
  14. Viscous / non- viscous coupled equations in the complex area of ??a spectral element method,O241.8
  15. The Predator-prey System with Random Perturbation and Maximum Likelihood Estimations of Its Parameters,Q-332
  16. The BV Solutions for a Class of Systems of Quasilinear Hyperbolic Equations with Measures as Initial Conditions,O175.27
  17. On Studies of a Class Elliptic Equations Modelling the Tacoma Narrows Bridge,O175.25
  18. BV Solutions for a Class of Quasilinear Hyperbolic Equations with Measures as Initial Conditions,O175.27
  19. The Mutualism System with Random Perturbation and Maximum Likelihood Estimations of Its Parameters,O212
  20. Some Research on Wavelet Approximations,O174.2

CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
© 2012 www.DissertationTopic.Net  Mobile