The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 200,000 mosquitoes in the area initially, and predators (e. g. birds, bats) eat 20,000 mosquitoes/day. Determine the population of mosquitoes in the area at any given time. So far, I have used the equation, The population of mosquitoes in a certain area inc where P0=200,000 and P(7)=400,000 (I figured time should be measured in days since you are given the number of mosquitoes eaten per day) to solve for k:
The population of mosquitoes in a certain area inc >> K=-ln(2)/7=-.099
Using that, I figured I should put that into the differential equation (change in population = birthrate - deathrate)
The population of mosquitoes in a certain area inc
I thought I knew how to solve this and everything, but once I got an answer and plugged in different times, the model says the population decreases, which doesn't seem to make sense. So please check my reasoning up to this point and show the solution so I can check mine. Thanks! (oh, and I rate "lifesaver" asap if you really help me)