*************** ANNOUNCEMENT ********************** * University of Utah Mathematical Biology Seminar * *************************************************** Wednesday, March 31 at 4pm in INSCC 110 Speaker: Gary Belovski, Utah State University Mathematics Title: Alternative States and Nonlinear Dynamics for an Insect Population in the Field Abstract: Some population models predict that populations can shift between alternative states: predator- or resource-limitation (e.g., competition for food). Which alternative state is observed depends upon initial densities and shifts between states can occur spontaneously if the oscillations produced by nonlinear dynamics are severe. Field experiments with grasshoppers that vary initial density and predation indicated that alternative states exist and that nonlinear dynamics occur. In some years, this produces predator-limitation and in other years, resource-limitation. Observed population dynamics indicate that the potential for alternative states and nonlinear dynamics is more likely than predicted by the model.