Stability Analysis of a Three-Species, Multi-Patch Variant of the Lotka-Volterra Model
- Carl Barratt
Abstract
We investigate the stability of the steady-state behavior of a variant of the classic Lotka-Volterra predator-prey model. The variant, LV(3,n), involves three interacting species distributed among n patches with diffusive interaction between the patches; one of the species is allowed to migrate between adjacent patches. Criteria on the phase-space of the three interaction constants are determined to ensure stability of the population steady-states.
- Full Text: PDF
- DOI:10.5539/jmr.v16n5p1
This work is licensed under a Creative Commons Attribution 4.0 License.
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