|
In this thesis our goal is to study the two syatems of Lotka-
Volterra-Gause Competition Model. One is dynamical system
without diffusion, and the other is steady state system with
diffusion. We dicuss the stabilities of their equilibrium. We
consider existence of non-constant coexitence solutions and
domain of attraction. We first analyze this system by linear
stability analysis to find the local stability. Then, we use
Taylor expansion to obtain numerical solutions.
|