Stability of Oscillations in the Spatially Extended May–Leonard Model
Abstract
Abstract. The May–Leonard model for three competing species, symmetric with respect to cyclic permutation of the variables and extended by diffusive terms, is considered. Exact time-periodic solutions of the system have been found, and their stability with respect to spatially periodic disturbances is studied. The stability of solutions with respect to long-wave spatial modulations is revealed. A period-doubling instability breaking the spatial uniformity is found.
Fields of Study & Subjects
Nonlinear Dynamics and Pattern Formation
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Biology Tumor Growth
Publication details
- Journal / source
- SIAM Journal on Applied Mathematics
- Volume
- 86
- Issue
- 3
- Pages
- 1230–1255
- Publication date
- 18 June 2026
- Language
- EN