2011 Fiscal Year Final Research Report
Study on spatial pattern solutions for the Lotka-Volterra system with advection
| Project/Area Number |
21740129
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Global analysis
|
|---|
| Research Institution | The University of Electro-Communications (2010-2011)
Fukuoka Institute of Technology (2009) |
|---|
Principal Investigator |
KUTO Kousuke 電気通信大学, 情報理工学研究科, 准教授 (40386602)
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Keywords | 非線形数理 / 反応拡散移流系 / 定常解 / 分岐 / 数理生物モデル / 極限系 |
|---|
| Research Abstract |
We derive some mathematical information on the global bifurcation structure of stationary solutions to the Lotka-Volterra system with nonlinear diffusion. First we study the Lotka-Volterra competition system with cross-diffusion under the Dirichlet boundary conditions to obtain the global bifurcation branch of a subset of stationary solutions to the limiting system as a cross-diffusion term tends to infinity. We also study a reaction-diffusion-advection system related to the Lotka-Volterra system and obtain the global bifurcation structure of stationary solutions to the limiting system as the diffusion and advection terms tend to infinity.
|
Research Products
(8 results)
