Stability in a Reaction-Diffusion Model of Mutualism
- 1 January 1986
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 17 (1) , 58-66
- https://doi.org/10.1137/0517007
Abstract
A reaction-diffusion model for the mutualistic interaction of two species is studied. A condition for the dominance of an equilibrium point in the bistable case is obtained, generalizing results for the well-known scalar case. It is also shown that the “hair trigger effect” operates when the corresponding kinetic system has a single globally asymptotically stable interior equilibrium point.Keywords
This publication has 10 references indexed in Scilit:
- CorrigendumJournal of Differential Equations, 1984
- Shock Waves and Reaction—Diffusion EquationsPublished by Springer Nature ,1983
- The Ecology of MutualismAnnual Review of Ecology and Systematics, 1982
- Mutualistic livesNature, 1982
- Mutualistic interactions among speciesNature, 1982
- Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbancesJournal of Differential Equations, 1981
- Mathematical Aspects of Reacting and Diffusing SystemsPublished by Springer Nature ,1979
- Varieties of mutualistic interaction in population modelsJournal of Theoretical Biology, 1978
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion EquationsSIAM Journal on Applied Mathematics, 1978
- Nonlinear diffusion in population genetics, combustion, and nerve pulse propagationPublished by Springer Nature ,1975