Table 1.

Existence and stability conditions of the equilibria of system (3)

Equilibrium points	Biological existence conditions	LAS conditions
$E_0=\left(0,0,0,1,\dots ,1\right)$	Always exists	Unstable
$E_1=\left(0,1,0,1,\dots ,1\right)$	Always exists	Unstable
$E_2=\left(0,B,B,1,\dots ,1\right)$	Always exists	$A<B$
$E_3=\left(A\frac{A-B}{A-B+C},A\frac{C}{A-B+C},A,1,1,\dots ,1\right)$	$B<A$	When it exists biological

Where the values $A$, $B$ and $C$ are as indicated in (9)