[Assume a = 0.37, b=5.28, and d = 0 in equation at top of page 117....

Transcribed Image Text:

[Assume a = 0.37, b=5.28, and d = 0 in equation at top of page 117. Replace P by x. a. Identify variables and constants as quantities with units. Phase line analysis. b. Equilibria. c. Graph f(x) vs x. d. Horizontal number line with x' = f(x) pos/neg and x( t) inc/dec. e. Phase line and type and stability of equilibria. f. Sketch typical solutions. g. Describe typical solutions in purely mathematical terms. h. Describe typical solutions in terms of fish populations. page 117) la lb 1g 1h 1c 1d le 1f ] Page#117problem is given below Introduction A fish population is growing in a lake according to the model: dP P (₁-²) - d dt b =aP 1 where P denotes the population in thousands of fish after t years from some initial time. This is logistic growth with carrying capacity b and inherent growth rate a. In addition there is fishing: d thousands of fish are being removed per year. For this lab, assume that a = 0.37 and b = 5.28. [Assume a = 0.37, b=5.28, and d = 0 in equation at top of page 117. Replace P by x. a. Identify variables and constants as quantities with units. Phase line analysis. b. Equilibria. c. Graph f(x) vs x. d. Horizontal number line with x' = f(x) pos/neg and x( t) inc/dec. e. Phase line and type and stability of equilibria. f. Sketch typical solutions. g. Describe typical solutions in purely mathematical terms. h. Describe typical solutions in terms of fish populations. page 117) la lb 1g 1h 1c 1d le 1f ] Page#117problem is given below Introduction A fish population is growing in a lake according to the model: dP P (₁-²) - d dt b =aP 1 where P denotes the population in thousands of fish after t years from some initial time. This is logistic growth with carrying capacity b and inherent growth rate a. In addition there is fishing: d thousands of fish are being removed per year. For this lab, assume that a = 0.37 and b = 5.28.

Answer rating: 100% (QA)

a Variables and constants with units P Population in thousands of fish t Time in years a Inherent growth rate unitless d Rate of fishing thousands of ... View the full answer