1) Calculate the population changes for 5 generations in a hypothetical predator-prey system with discrete generations in which the following parameters for the prey are: B = 0.03, Neq = 100, C = 0.5, and the starting density is 50 prey. For the predators, S = 3, and starting density is 0.2. Round to the nearest WHOLE individual for the PREY population and round to TWO decimal places for the PREDATOR population. After 5 generations, the prey population size "N" is: -------. Fill in the blank,

and the predator population size "P" is: -----------------Fill in the blank

2)

You are a new graduate student in an epidemiology lab and were given the task to model the spread of a new emerging disease: Chikungunya (a viral disease which is transmitted to humans by infected mosquitoes). You start your investigation by reading pertinent literature regarding the past outbreaks but cannot find any so you approach your supervisor to conduct a pilot study. You obtain and infect 50 lab rats. After 4-7 days (length of time required for symptoms to occur), you find that 13 are symptomatic (contracted the disease). Finally, you know the current statistics for Canada (population size, birth and death rates), so you have all of the necessary information to model the disease in Canada. Assume no recovery. ROUND TO THE NEAREST INDIVIDUAL. Canada (N) = 37,590,000 = 0.017 or 17/1000 Birth rate = 10.37/1000 Death rate = 7.7/1000 Y = 30,000 c = 0.83 Calculate the transmission rate () based on the pilot study results, round to TWO decimal places: -------- Fill in the blank,

2)

Calculate the contact rate and the number of infectives at equilibrium. Remember that at equilibrium there are no more susceptible left in the S compartment and therefore no new infectives can be produced so, dX/dt = 0 = dY/dt. Do not add commas. Round to TWO decimal places or the nearest whole individual. cN* = ---------------Fill in the blank, Y* = ----------- Fill in the blank,