A biologist noticed that a small lake has a population of fish that naturally grows according to the logistic model y=0.0005y(300y)y=0.0005y(300y) where yy is the number of fish at time tt measured in months. The carrying capacity of this forest is Answer fish.

In January 2021, a disease began killing the fish at a rate of 10 fish per month. If there were 110 fish in the pond when the biologist first noticed the disease (at time t=0t=0), then the number of fish willAnswerincreasedecrease and reachAnswer in the long run.

After many months, the biologist finds that the disease is not affecting the fish as much and fewer fish are dying from it each month. The fish population has rebounded and is now at a stable size of 270. Based on this, the biologist is able to estimate that, rounding to the nearest fish, only Answer fish are being killed by the disease each month.