0005.The community is also trying to create a neighborhood resident association. Ten members are recruited each month through posters put up in the community. In addition, each member typically recruits 1 new member every five months (that is, about 0.2 new members per member per month). And finally, attrition seems to run at about 40% per month.

  • What are the "rates"? What are the "amounts"?
  • Write the difference equation in general form (Pn+1=aPn + b)
  • Label the diagram below as fully as you can.
pn%2B1vspn.gif
  • What is the equilibrium value? Is it a stable or unstable equilibrium? How can you tell?
  • Label this chart as fully as possible and then explain what it shows.
pnvst.gif