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Stability and bifurcation in a diffusive Lotka–Volterra system with delay.
- Source :
-
Computers & Mathematics with Applications . Jul2016, Vol. 72 Issue 1, p147-177. 31p. - Publication Year :
- 2016
-
Abstract
- In this paper, we investigate the dynamics of a class of diffusive Lotka–Volterra equation with time delay subject to the homogeneous Dirichlet boundary condition in a bounded domain. The existence of spatially nonhomogeneous steady state solution is investigated by applying Lyapunov–Schmidt reduction. The stability and nonexistence of Hopf bifurcation at the spatially nonhomogeneous steady-state solution with the changes of a specific parameter are obtained by analyzing the distribution of the eigenvalues. Moreover, we illustrate our general results by applications to models with a single delay and one-dimensional spatial domain. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 72
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 115824527
- Full Text :
- https://doi.org/10.1016/j.camwa.2016.04.049