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Learn by viewing, master by doing www.virtuallypassed.com 500 Humans are at war with 500 Zombies! Assume Humans die at a rate proportional to the number of zombies. dH/dt = - 3Z (H = humans at any time t, and Z = zombies at any time t) Assume all dead humans convert to zombies, and zombies die at a rate proportional to humans. dZ/dt = 3Z - 5H (notice that humans are much more efficient at killing zombies but zombies can convert dead humans). 1) Find Z(t) 2) Who wins the war?
