Name
Abstract | ||
|---|---|---|
The behavior of the simplest forest fire model is studied in this paper through bifurcation analysis. The model is a second-order continuous-time impact model where vegetational growth is described as a continuous and slow dynamic process, while fires are modeled as instantaneous and disruptive events. The transition from Mediterranean forests (characterized by wild chaotic fire regimes) to savannas and boreal forests (where fires are almost periodic) is recognized to be a catastrophic transition known as border collision bifurcation in the context of discrete-tine systems. In the present case such a bifurcation can be easily detected numerically and then continued by solving a standard boundary-value problem. The result of the analysis complements previous simulation studies and are consistent with biological intuition. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.amc.2004.09.008 | Applied Mathematics and Computation |
Keywords | Field | DocType |
simplest forest fire model,border collision bifurcation,catastrophic transition,forest fire model,impact model,bifurcation analysis,wild chaotic fire regime,continuation,boreal forest,discrete-tine system,chaos,second-order continuous-time impact model,mediterranean forest,biological intuition,vegetative growth,second order,fire regime,boundary value problem | Statistical physics,Forest-fire model,Fire regime,Mathematical analysis,Simulation,Taiga,Collision,Chaotic,Partial differential equation,Discrete system,Mathematics,Bifurcation | Journal |
Volume | Issue | ISSN |
168 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
4 | 0.73 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fabio Dercole | 1 | 47 | 14.32 |
| Stefano Maggi | 2 | 4 | 1.07 |