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Lotca-volterra model
Interspecific competition refers to the phenomenon that species with similar needs directly or indirectly inhibit each other in order to compete for space and resources.

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.