Dissertation > Excellent graduate degree dissertation topics show

The Global Existence of Solutions for Predation Models with Tropism Item

Author: YueWei
Tutor: YangYin
School: Huazhong University of Science and Technology
Course: Applied Mathematics
Keywords: Chemotaxis phenomenon Sector operator Local Solutions Global Existence
CLC: O175
Type: Master's thesis
Year: 2011
Downloads: 10
Quote: 0
Read: Download Dissertation


The Biomathematics was interdisciplinary between mathematics and biology , it is the use of mathematical methods to explore the problems of biology , and biology mathematical problems and theoretical research . The Biomathematics the main object of study is the ecosystem . individual organisms have the athletic ability to make the appropriate response to external environmental stimuli is a common phenomenon in the ecosystem . however when such a reaction caused by the movement of certain directional tendency is called common trend chemotaxis , aerotaxis haptotactic trend of light and other types . tendency not only of great theoretical significance , but also in real life there are more important practical significance , the frequent use of insect agriculture tends to certain types of attract chemicals habits and booby traps people hunting moths at night is to use a moth phototaxis . trend model was first established in 1970 , Keller-Segel this model has been recognized by many domestic and foreign scholars such models more and more in-depth . prey model of this study tend to take full account of the widespread concern sexual behavior , as we all know , the response behavior of organisms on the surrounding environment is one of the basic life behavior , consider tropism behavior is one of the important factors to accurately describe biological systems , this study has great practical significance . article focuses on the zone chemokines sex predator system first described the historical background of the problem and thesis preparation knowledge local Existence uniqueness . then use the contraction mapping principle . finally discuss the global existence of solution .

Related Dissertations

  1. The Initial Boundary Value Problems for a Class of Generalized IMBq Equations with Damping Terms,O175.8
  2. Global Stability and Blow-up Problem of Solutions for Some Nonlinear Hyperbolic Equations,O175.27
  3. The Existences of Global Strong Solution and of Attractor for Navier-Stokes Equations in 3D Thin Domains with Navier-friction Boundary Conditions,O175.24
  4. About with weak dissipation term Camassa-Holm Equations nature,O175
  5. Blow-up for Nonlinear Diffusion Equations (Systems),O175.2
  6. The Analysis of the Solutions to Three Partial Differential Equations,O175.2
  7. Two Classes of Evolution Equations with Two Nonlinear Source Terms of Different Sign,O175.29
  8. Global Existence and Exponential Stability of Solutions in H~4 for the Compressible Navier-Stokes Equations with the Cylinder Symmetry,O175.2
  9. Global Existence and Exponential Stability in H~4 for the Nonlinear Compressible Navier-Stokes Equations,O175.2
  10. Global Existence of Solutions in H~4 for a Nonlinear Thermoviscoelasticity Equations with Non-monotone Pressure,O175.2
  11. On Cauchy Problem of Nonlinear Wave Equations,O175
  12. Studies on 1-D Quasineutral Drift Diffusion Model for Semiconductors,O472
  13. On the Cauchy Problem for a Nonlinear Schr(?)dinger Equation Occurring in Plasma Physics,O411.1
  14. A class of nonlinear reaction-diffusion equations Global existence and finite time,O175.26
  15. Nonlinear dispersion equations Existence,O175.2
  16. Exsistence of a Global Solution to a Semi-linear Wave Equations,O175
  17. The Global Existence and the Finite Time Blow up of Solution to Degenerate Parabolic Systems,O175.26
  18. The Cauchy Problem and the Initial Boundary Value Problems for a Class of Nonlinear Wave Equation of Sixth Order,O175.2
  19. The Exterior Problem for the Nonlinear Elastodynamic System,O302
  20. Cauchy Problem for the Nonhomogeneous Hyperbolic Conservation Laws with the Degenerate Viscous Term,O175.27

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