Logistic and harvesting models
General · Mathematics
Study notes
Q: Fishery: r = 0.5/yr, K = 10000. Find maximum sustainable yield. Harvest model: dP/dt = rP(1-P/K)-H. MSY at P = K/2: H_max = rK/4. = 0.5×10000/4 = 1250 fish/yr! Harvest more: collapse! Less: waste! Logistic S-curve: slow-fast-slow! (Sustainable: half capacity!)