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44 Question 2 (20%) There once was an accident involving Lime Soda and a strange energy source and now the town of Seabrook is invaded

44 Question 2 (20%) There once was an accident involving Lime Soda and a strange energy source and now the town of Seabrook is invaded by hard-to-kill zombies. The town has a population of 1500 individuals (potential future zombies). There are 5 initial zombies created A zombie bite transfers the disease and zombies are being created from humans at a constant proportionality of 3.2 . 10 people/hour Without humans, zombies can't be created. Zombies without food die off at a constant proportionality of 5.3 . 10 2 per hour a) (15%) Solve the coupled model for the zombie outbreak for the first 100 hours after the zombies appear, Plot the population of humans and zombies on a single graph with appropriate axes and legend 45

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