1. The problem statement, all variables and given/known data The simplest useful model for fisher comes from the logistic model for population growth, together with a harvest h which is proportional to the current population P, that is, h=EP, where the constant E is called the effort. E measures the fraction of the population harvested, so that 0 <= E <= 1. This gives the model dP/dt = kP(1-(P/a) - EP, where P(t) is the number of these fish at time t year and k (the natural growth rate) and a( the carrying capacity) are constants for a particular fish polulation. In what follows take k= 1 and a= 4, for simplicity. a) determine the equilibrium solutions for a given effort E. my attempt. dP/dt = P - P^2/4 - EP dP/dt = ( P + E) (P -1/4) equilibrium solutions are when dP/dt=0 so P(0)= -E, 1/4.