Description: A terrible zombie apocalypse is ravaging acrossplanet earth. The number of zombies is growing proportionally tothe number of zombies present. After one month since the ?rstinfection, 100 million people had been infected and by the timeanother month had passed, there were 400 million infected.
1) Construct a di?erential equation which models thenumber of zombies. Explain the reasoning behind how you constructedthe model you chose to use. Discuss any potential shortcomings ofyour model. Describe any initial conditions associated with yourmodel.