Fish Population Dynamic and Stock Assessment

2.2.4.2 Density dependent model for population with discrete breeding season

2.2.4.2. Equation for density dependent model for population with discrete breeding season

N_t+T = N_t + [T x r x N_t x (K-N_t/K) ]

K= carrying capacity

Once the N_t approaches K, the expression (K-N_t+/K) approaches ‘o’ and N_t+T comes closer to N_t and at K, N_t +T equals N_t.

Plotting N_t against time shows increase for density dependent populations with discrete breeding seasons.

above Figure shows the effect of ‘r’ and ‘T’ on density dependent populations.