During a 10-minute interval, adult worms switch from eating to egglaying with probability 0.1 and from egg-laying to eating with probability 0.15. a. Draw a diagram illustrating this process. b. Derive a discrete-time dynamical system for the probability the worm is eating. c. Find the long-term fraction of time spent eating. d. If egg-laying takes place at a rate of 1.5 per 10 minutes, about how many eggs would this worm lay during its 15-day life (worms never sleep)?

During a 10-minute interval, adult worms switch from eating to egglaying with probability 0.1 and from egg-laying to eating with probability 0.15. a. Draw a diagram illustrating this process. b. Derive a discrete-time dynamical system for the probability the worm is eating. c. Find the long-term fraction of time spent eating. d. If egg-laying takes place at a rate of 1.5 per 10 minutes, about how many eggs would this worm lay during its 15-day life (worms never sleep)?

Biology Today and Tomorrow without Physiology (MindTap Course List)

5th Edition

ISBN:9781305117396

Author:Cecie Starr, Christine Evers, Lisa Starr

Publisher:Cecie Starr, Christine Evers, Lisa Starr

Chapter1: Invitation To Biology

Section: Chapter Questions

Problem 3FIO: Figure 1.15 Example of error bars in a graph. This graph was adapted from the peacock butterfly...

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