Competition

 This is a multi-species version of the classic Lotka-Volterra competition model. The dynamics of each species is given by:

dB_i/dt = r_i*(1-sum_{j = 1,nsp}(c_i,j*B_j))

where:
B_i is the biomas of species i;
r_i is the maximum specific growth rate for species i;

This is the classic textbook model of the population dynamics of two competing species.

It is based on a pair of differential equations, each having the same mathematical form:

dX₁/dt = r₁.X₁.(1-b₁.X₁-c₁.X₂)
dX₂/dt = r₂.X₂.(1-b₂.X₂-c₂.X₁)