Abstract
The local dynamics of two discrete-time models applicable to three competing plant species are shown to have properties similar to the May-Leonard (M-L) differential equation model. The dynamics of the two discrete models are shown to be similar. However, they are not dynamically consistent with the continuous M-L model. Unlike the continuous M-L model, the Hopf bifurcations of the discrete M-L models are not degenerate. The continuous M-L model is the limiting case of the discrete models.
Original language | English |
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Pages (from-to) | 77-98 |
Number of pages | 22 |
Journal | Journal of Difference Equations and Applications |
Volume | 10 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2004 |
Keywords
- Competition
- Difference equations
- Hopf bifurcation
- Lotka-Volterra
- May-Leonard systems