please help Suppose a zombie shuffles into a small town a instantaneous \"decay\

Question

please help Suppose a zombie shuffles into a small town a instantaneous "decay" rate of 21% per day. How many days will it take for half (1/2) the population to become brain munchers? If the initial population was 5300 how many survivors will be left after 36 days? Now suppose the government got word of the zombie threat and quarantined the town to stop the spread of zombies. Write a logistic equation to model the zombie population inside the quarantined area. Count the wandering in zombie as the first zombie of the zombie population (also make the total population 5301) Twitchy Jo (as he is known by the locals) Knowing of impedance doo had prepared for the zombie apocalypse well in advance. Modify your model in part to account for Jo living safely in his self sustaining bunker.

Explanation / Answer

a) N/2 = N * exp(-0.21*T)

so, exp(-0.21*T)=0.5

T = -ln(0.5)/0.21=3.3

b) N= 5300*exp(-0.21*36)=2.76

c) Nt+1 - Nt = -0.21Nt

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