Stability of travelling wave solutions of diffusive predator-prey systems-Reference-Cited by-同舟云学术

Stability of travelling wave solutions of diffusive predator-prey systems

Published:1991 Issue:2 Volume:327 Page:465-524
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Gardner R.,Jones C. K. R. T.

Abstract

The stability of travelling wave solutions of singularly perturbed, diffusive predator-prey systems is proved by showing that the linearized operator about such a solution has no unstable spectrum and that the translation eigenvalue at λ = 0 \lambda = 0 is simple. The proof illustrates the application of some recently developed geometric and topological methods for counting eigenvalues.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1991-327-02/S0002-9947-1991-1013331-0/S0002-9947-1991-1013331-0.pdf

Reference13 articles.

1. J. Alexander, R. Gardner, and C. Jones, A topological invariant arising in the stability of travelling waves, (submitted).

2. Lecture Notes in Biomathematics;Fife, Paul C.,1979

3. The approach of solutions of nonlinear diffusion equations to travelling front solutions;Fife, Paul C.;Arch. Rational Mech. Anal.,1977

4. Stability of the travelling wave solution of the FitzHugh-Nagumo system;Jones, Christopher K. R. T.;Trans. Amer. Math. Soc.,1984

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