Modeling Projects
Population dynamics
- Predator-prey dynamics
The first paper discusses the use of experimental measurements to create an age-structured model for ginseng plant populations, and to analyze the effect of deer browsing. The second article models predator-prey dynamics in a chemostat, in terms of ordinary differential equations. The third paper discusses foodwebs. The fourth article discusses tri-trophic food chains, and the fifth considers possible consequences of the eradication of a predator.
- Deer Browsing and Population Viability of a Forest Understory Plant, by J.B. McGraw and M.A. Furedi,
Science 307, 920 - 922 (2005).
- Stability and bifurcation of a simple food chain in a chemostat with removal rates, by M.M.A. El-Sheikh and S.A.A. Mahrouf,
Chaos, Solitons and Fractals 23, 1475-1489 (2005).
- Stabilization of Large Generalized Lotka-Volterra Foodwebs By Evolutionary Feedback, by G. J. Ackland and I. D. Gallagher,
Phys. Rev. Lett. 93, 158701 (2004).
- Allometric degree distributions facilitate
food-web stability, by S.B. Otto, B.C. Rall, and U. Brose,
Nature 450, 1226-1230 (2008).
- Cats, rats and seabirds, by M. Le Corre,
Nature 451, 134-135 (2007).
- Competing species
- Coexistence and chaos in complex ecologies, by J.C. Sprott, J.A. Vano, J.C. Wildenberg, M.B. Anderson, and J.K. Noel,
Phys. Lett. A 335, 207-212 (2005).
- Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model by Tobias Reichenbach, Mauro Mobilia, and Erwin Frey.
Phys. Rev. E 74, 051907 (2006)
- The spatial scales of species coexistence by Simon P. Hart, Jacob Usinowicz & Jonathan M. Levine.
Nature Ecology & Evolution 1, 1066-1073 (2017)