A population P(t) of field mice, where P is the number of mice and t is measured in months from some starting point, grows at the rate of 50% per month. However, owls in the neighbourhood eat them at...

Extracted text: A population P(t) of field mice, where P is the number of mice and t is measured in months from some starting point, grows at the rate of 50% per month. However, owls in the neighbourhood eat them at the rate of 600/month. A model for the mice population is given by the differential equation dP = 0.5P – 600 dt If the field can only sustain a capacity population of k = 10000 field mice, can you state a better model for the mice population in which populations do not grow to infinity?