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 —D 0.5Р — 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?
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 —D 0.5Р — 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?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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Given that a population of field mice, where is the number of mice and is the measured in months from starting point at the rate of 50% per month. So, the growth rate is
Owls in the neighborhood eat them at the rate of 600 per month which is constant.
The field can only sustain a capacity population of . therefore, maximum carrying capacity is .
Since, there is a maximum carrying capacity, it restricts the growth due to lack of available resources or other reason. In that case, population do not grow to infinity.
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