A certain colony of lizards has a life span of less than 3
Chapter , Problem 12(choose chapter or problem)
A certain colony of lizards has a life span of less than 3 years. Suppose that the females arc divided into three age group': tho>c under :age I. tho>e of age I. and those of age 2. Suppose further that the proportion of newborn females that survives until age I is .5 and that the proportion of one-year-old females that survives until age 2 is q. Aume also that females under age I do not give birth, those of uge I have, on average, 1.2 femule offspring. and those of age 2 have, on average, I female offspring. Suppose there nrc initially 450 females of age less than I. 220 of age I. and 70 of age 2. (a) Write u Le>li e matrix A for this colony of lizards. (b) If q = .3. what will happen to the population in 50 years? (c) If q = .9. what will h:tl>pen to the population in 50 years? (d) Find by trial und error a value of q for which the li1.ard populltion reache~ a nonrero stable distribution. What is this stable distributJon?
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