answer is 40.77 months
dP Consider a rabbit population Pit) satisfying the logistic equation aP-bP, where B-aP is the time...
Population Growth: Let P(t) be the number of rabbits in the rabbit population. In the simplest case we can assume the number of rabbits born at any moment of time is proportional to the number of rabbits at this moment of time. Mathematically we can write this as a differential equation: Here b is the birth rate, i.e. births per time unit per rabbit. In the model above we ignore deaths and assume resources are unlimited. A. Solve the equation...
- ap-bp? This equation is known as the logistic law of population growth and the numbers a, b are called the vital coefficients of the population. It was first introduced in 1837 by the Dutch mathematical-biologist Verhulst. Now, the constant b, in general, will be very small compared to a, so that if p is not too large then the term - bp will be negligible compared to ap and the population will grow exponentially. However, when p is very...
step by step please 4. Suppose that the logistic equation dt Pla -bP) models a population of fish in a lake after t months during which no fishing occurs. What is the limiting population for this fish population? suppose that, because of fishing, fish are removed from the lake at a rate proportional to the existing fish population. i. Write a differential equation that describes this situation. ii. Show that if the constant of proportionality for the harvest of fish,...