Unformatted text preview: x = 1500. (Four points are enough.) (f) Draw the cobweb diagram of the dynamical system with x = 1500. (Four iterations are enough.) (g) Determine the stability of the equilibrium point using the cobweb diagram. 2. A disease is spreading through campus. Each day, the number of people infected depends on how many were infected the day before, according to the formula y n +1 = 6 . 2976 y n 1 + 0 . 0112 y n . (a) If one person is initially infected, how many people are infected after the ±rst day? after the second day? after the third? (b) Find all equilibrium points of the dynamical system. (c) How many people would you guess will be infected eventually? 3. A city is growing at a rate of 1% per year and initially has 1,000,000 individuals. What will be the population in 50 years’ time? 1...
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- Fall '08
- Equilibrium point, Stability theory, Dynamical systems, Frithjof Lutscher, Angelika Welte