(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

consider a lake that is stocked with walleye pike and that the pike population is governed by P'=.1P(1-P/10) where time is measured in days and P is thousands of fish. Suppose that fishing is started in this lake and that 100 fish are removed daily. modify the logistic model to account for the fishing

2. Relevant equations

P'=.1P(1-P/10)

3. The attempt at a solution

I am thinking it's just P'=.1P(1-P/10)-.1 but that seems too easy LOL. any thoughts?

1. The problem statement, all variables and given/known data

Suppose a population is growing according to the logistic eqn

dP/dt=rP(1-P/K)

Prove that the rate at which the population is increasing is at its greatest when the population is at one-half of it's carrying capacity.Hint: Consider the second derivative of P

2. Relevant equations

dP/dt=rP(1-P/K)

3. The attempt at a solution

Absolutely no idea where to start with this one :-(

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Two ODE problems not sure about

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