The sudden outbreak of an insect population can be modeled by the equation

The first term relates to the well-known logistic population growth model where N is the number of insects, R is an intrinsic growth rate, and C is the carrying capacity of the local environment. The second term represents the effects of bird predation. Its effect becomes significant when the population reaches a critical size Nc. r is the maximum value that the second term can reach at large values of N.

Transcribed Image Text:

근+N dt