A population of blowflies experiences logistic growth with delayed density dependence. Suppose that this population has an initial size of 4,295 and follows the standard equation for delayed density dependence with a 10-week delay and an intrinsic growth rate of 0.2 per week. If these conditions remain constant and the population is tracked for a long time, what type of population dynamics should it display? (Note: The cutoff r $ \tau $ value for dampened oscillations is 0.368, and the cutoff for a stable limit cycle is 1.57.)

Question

Quizplus · Accepted Answer

The intrinsic growth rate (r) of 0.2 per week with a 10-week delay gives a product of 2, which is greater than the cutoff for a stable limit cycle (1.57). Therefore, the population will display a stable limit cycle.

A Population of Blowflies Experiences Logistic Growth with Delayed Density τ \tau τ

A Population of Blowflies Experiences Logistic Growth with Delayed Density $\tau$