ArticleBulletin of mathematical biology2021
Impulsive Fire Disturbance in a Savanna Model: Tree-Grass Coexistence States, Multiple Stable System States, and Resilience.
Article in Bulletin of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed.
- Spatial modeling of forest-savanna bistability: impacts of fire dynamics and timescale separation.Journal of mathematical biology · 2026Article
- Article
- Review
- Pattern Formation in Mesic Savannas.Bulletin of mathematical biology · 2023Article
- Emergent structure and dynamics of tropical forest-grassland landscapes.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- An immuno-epidemiological model for transient immune protection: A case study for viral respiratory infections.Infectious Disease Modelling · 2023Article
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Abstract
Savanna ecosystems are shaped by the frequency and intensity of regular fires. We model savannas via an ordinary differential equation (ODE) encoding a one-sided inhibitory Lotka-Volterra interaction between trees and grass. By applying fire as a discrete disturbance, we create an impulsive dynamical system that allows us to identify the impact of variation in fire frequency and intensity. The model exhibits three different bistability regimes: between savanna and grassland; two savanna states; and savanna and woodland. The impulsive model reveals rich bifurcation structures in response to changes in fire intensity and frequency-structures that are largely invisible to analogous ODE models with continuous fire. In addition, by using the amount of grass as an example of a socially valued function of the system state, we examine the resilience of the social value to different disturbance regimes. We find that large transitions ("tipping") in the valued quantity can be triggered by small changes in disturbance regime.
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