Lotca-Volterra interspecific competition model;
K is the environmental capacity
N is the population number of species.
The basic conditions for their stable existence are dN 1/dt=0 and dN2/dt=0.
If dN 1/dt=0, then k1-n1-α N2 = 0-
If dN2/dt=0, then k2-N2-β n 1 = 0-②.
When the environment is completely occupied by N 1, N 1=K2/β is obtained from ②.
When the environment is completely occupied by N2, N2=K 1/α is obtained from the formula (1).
The figure shows four situations.
Senior high school mathematics solid geometry problem-solving skills 1. Strategies to show the relationship