Dissertation > Excellent graduate degree dissertation topics show

Multiple Positive periodic solutions of Lotka-Volterra diffusion system with harvesting rates

Author: XiaoYongFeng
Tutor: FangHui
School: Kunming University of Science and Technology
Course: Applied Mathematics
Keywords: Lotka-Volterra competition diffusion system Predator - Prey System Harvest rate Multiple Positive Periodic Solutions Coincidence degree theory
CLC: O175.2
Type: Master's thesis
Year: 2005
Downloads: 29
Quote: 0
Read: Download Dissertation

Abstract


This paper studies the Delay Two Species Lotka-Volterra competition diffusion system Mawhin continuation theorem of coincidence degree theory and a priori estimates based on the ratio of the predator - prey diffusion system , the establishment of such a harvest rate model the existence of multiple positive periodic solution sufficient condition for a concise and easy to verify . This is the first time you use this method to study these two types of multiple positive periodic solutions exist . The paper is divided into three chapters . The first chapter describes the basic knowledge of Mawhin coincidence degree theory ; Chapter Mawhin continuation theorem to study the existence of multiple positive periodic solutions of a delay harvest rate of Two Species Lotka-Volterra competitive system , the system There are at least two positive periodic solutions to a set of sufficient conditions ; Chapter Mawhin continuation theorem harvest rate and the existence of multiple positive periodic solutions to establish based on the ratio of delay Predator - Prey System of the system is that there is at least a sufficient condition of four positive periodic solution .

Related Dissertations

  1. The Qualitative Analysis of a Fast-Slow Predator-Prey System,O175
  2. The Research on Traveling Wave Solutions of Some Classes of HOLLING Type Predator-prey Systems,O175
  3. Study on Holling Predator-prey System Incorporating Prey Refuges and Harvesting,Q14
  4. The Research on Local Bifurcation of Some Classes of Discrete Systems,O175
  5. The Qualitative Analysis of the Biology System with Time Delay,O175
  6. The Study of Population Dynamical System with Time Delay and Impulsive Effect,O175
  7. A class with dual delay predator - prey model kinetic properties,O175.13
  8. Qualitative Nature of Two Predator-prey System with Time Lags,O175
  9. The Study of Population Dynamics Behavior with Stage Structure,O175.21
  10. Dynamics of a Predator-prey Metapopulation System with Allee-like Effects,O175
  11. Two types of discrete Leslie - Holling 's type predator-prey system stability and bifurcation analysis,O175.13
  12. Trophic dynamics of population dynamics based on the optimal control system,O232
  13. Bifurcation of A Predator-prey System with A Nonlinear Incidence Rate,O175
  14. Stability and Bifurcation Analysis of Two Delayed Prey-predator System with B-D Functional Response,O175.12
  15. Hopf Bifurcation and Stability Analysis for A Delayed Predator-prey System with Stage Structure and Functional Response,O175
  16. Bifurcation of a Predator-prey System with Weak Allee Effect,O175
  17. Rich Dynamics for a Classic Predator-prey Model with Weak Allee Effect,O175
  18. Stability and Hopf bifurcation of the two types of three - dimensional system,O175.12
  19. Periodic Solutions of Predator-Prey System with Holing-N Functional Response on Time Scales,O175
  20. The Application of Impulse in Dynamic System,O175
  21. Several types of functional differential Existence of Periodic Solutions,O175

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