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Qualitative Analysis of a Leslie-Gower Predator-Prey Model with a Prey Refuge and Diffusion

Author: DanYao
Tutor: WangJing
School: Northeast Normal University
Course: Applied Mathematics
Keywords: Leslie-Gower Lyapunov function Diffusion Prey refuge
CLC: O175.12
Type: Master's thesis
Year: 2009
Downloads: 66
Quote: 0
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Abstract


This paper is to study with prey refuge Leslie-Gower Predator - Prey System , and its qualitative analysis of text is divided into five chapters , the first chapter outlines the problems generated background. Followed in Chapter research System ( 1.4 ) is non-negative constant steady state diffuse , persistence and stability of the system as discussed in this chapter come when the parameters satisfy a 2 b 1 gt; a 1 r 2 (1-m) 2 founded persistent ; By constructing Lyapunov function obtained when the system's two non- negative constant steady state in a certain range of parameters are globally asymptotically stable . third chapter mainly through the positive stationary upper and lower bounds to establish a priori estimates made ??fourth chapter , in particular within the parameters obtained very positive steady state value nonexistence fifth chapter is whether the refuge for a comparison , by comparing the findings : prey refuge protection only affects the size of the domain of attraction , but it does not affect the stability of the system .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Ordinary Differential Equations > Qualitative theory
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