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Stability of Steady State Solution for a Lotka-VolterraModel with Cross Diffusion(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年04期
Page:
7-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
Stability of Steady State Solution for a Lotka-VolterraModel with Cross Diffusion
Author(s):
Xu Qian1; Zhao Ye2; Yang Yujie1
(1.Department of Basic Courses,Beijing Union University,Beijing 100101,China)(2.Department of Mathematics and Physics,Beijing Institute of Petrolchemical Technology,Beijing 102617,China)
Keywords:
bifurcating solution; spectral analysis; stability
PACS:
O175.2
DOI:
10.3969/j.issn.1001-4616.2018.04.002
Abstract:
We investigate a Lotka-Volterra model with cross diffusion in a spatially heterogeneous environment. Through the detailed spectral analysis and linearized stability theory,we prove that the bifurcating solution of the Lotka-Volterra system with cross diffusion is locally asymptotically stable.

References:

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Last Update: 2018-12-30