n9 − sr 2 atdn ns0d − n0 Here the per capita growth rate declines over time, going from positive to negative. It is modeled by the function r 2 at, where r and a are positive constants.

Seasonality and habitat destruction The per capita growth rate of many species varies temporally for a variety of reasons, including seasonality and habitat destruction. Suppose nstd represents the population size at time t, where n is measured in individuals and t is measured in years. Solve the differential equation for habitat destruction and describe the predicted population dynamics.