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| Content Provider | Springer Nature Link |
|---|---|
| Author | Bowong, S. Yatat, V. Tewa, J. J. Dumont, Y. Couteron, P. |
| Copyright Year | 2016 |
| Abstract | Fires and mean annual rainfall are major factors that regulate woody and grassy biomasses in savanna ecosystems. Within the savanna biome, conditions of long-lasting coexistence of trees and grasses have been often studied using continuous-time modelling of tree–grass competition. In these studies, fire is a time-continuous forcing while the relationship between woody plant size and fire-sensitivity is not systematically considered. In this paper, we propose a new mathematical framework to model tree–grass interactions that takes into account both the impulsive nature of fire occurrence and size-dependent fire sensitivity (via two classes of woody plants). We carry out a qualitative analysis that highlights ecological thresholds and bifurcation parameters that shape the dynamics of the savanna-like systems within the main ecological zones. Through a qualitative analysis, we show that the impulsive modelling of fire occurrences leads to more diverse behaviors including cases of grassland, savanna and forest tristability and a more realistic array of solutions than the analogous time-continuous fire models. Numerical simulations are carried out with respect to the three main ecological contexts (moist, mesic, semi-arid) to illustrate the theoretical results and to support a discussion about the bifurcation parameters and the advantages of the model. |
| Ending Page | 1482 |
| Page Count | 58 |
| Starting Page | 1425 |
| File Format | |
| ISSN | 03036812 |
| e-ISSN | 14321416 |
| Journal | Journal of Mathematical Biology |
| Issue Number | 6 |
| Volume Number | 74 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2016-09-22 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Impulsive differential equation Asymmetric competition Mathematical and Computational Biology Fire Nonstandard finite difference scheme Equations with impulses Qualitative analysis Numerical approximation of solutions Ecology Applications of Mathematics Savanna |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation |
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