Dissertation > Excellent graduate degree dissertation topics show

Applications of Impulse in Biological Invasion Population Model

Author: JiangFang
Tutor: CaoRongMei
School: Nanjing University of Aeronautics and Astronautics
Course: Applied Mathematics
Keywords: fixed time impulse state impulse persistent stability boundedness
CLC: O193
Type: Master's thesis
Year: 2013
Downloads: 9
Quote: 0
Read: Download Dissertation

Abstract


This paper mainly studies three types of models: an infectious disease model of single specieswith impulse at fixed times, a predator-prey model with impulse at fixed times, and a predator-preymodel with state impulse and with Beddington-DeAnglis functional response. For the infectiousdisease model of single species, the paper obtains the boundedness of solutions with positive initialconditions, and also some sufficient extinction conditions and persistence conditions by using thecomparison theorem in impulsive differential equations and Floquent theory. For the predator-preymodel of two species with time-delay and impulse at fixed times, the paper obtains the boundednessof solutions, the persistence conditions of the subsystem, and the local asymptotic stability conditionsof periodic solutions; for the predator-prey model of three species with impulse at fixed times, thepaper numerically simulates the solutions and confirms the influence of impulse period on the system.Finally, assuming that the choice of impulsive time depends on the population, the paper proposes apredator-prey model of state impulse with functional response of Beddington-DeAnglis type andobtains the existence and stability conditions of periodic solutions of order1by constructing thePoincare mapping and the phase portrait of the system. Numeric simulations are applied to all threetypes of models, which support the theoretical results.

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. Breeding of High-Yield Pigment Production Monascus and Studies on Pigments’ Qualities,TS202.3
  13. On Ohba’s Conjecture of One Class of Complete Multipartite Graphs,O157.5
  14. Analysis of the Impact of Tailings Dam Stability under Seepage Role,TV649
  15. Research on Anti-periodic Solutions of Delayed Cellular Neural Networks without Assuming Global Lipschitz Conditions,TP183
  16. Characterization and Properties of capsaicin / CD system,TQ450.1
  17. Preparation and Properties of lead-free glass powder,TQ171.6
  18. Preparation and Evaluation on the Toxicological Safety and Stability of Deer Blood Wine,TS262.91
  19. Evaluation on Stability of Threshing and Redrying Lamina Structure of Tobacco,TS443
  20. Generator Excitation System of the Anti-saturation Control,TM301.2
  21. Differeces in Physical and Chemical Properties and Organic Carbon Stability of Black Soil between Cropping Systems in Northeast China,S153

CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory > Differential dynamical systems
© 2012 www.DissertationTopic.Net  Mobile