j	Competition process	Birth/birth-death
(a + 1, b)	q(a,b)(a+1,b)	${\lambda }_{ab}^{(1)}$
(a − 1, b)	q(a,b)(a−1,b)	0
(a, b + 1)	q(a,b)(a,b+1)	${\lambda }_{ab}^{(2)}$
(a, b − 1)	q(a,b)(a,b−1)	${\mu }_{ab}^{(2)}$
(a + 1, b − 1)	q(a,b)(a+1,b−1)	γab
(a − 1, b + 1)	q(a,b)(a−1,b+1)	0
(a, b)	$-{\displaystyle \sum _{k,l\in \{-1,0,1\}}^{k\ne l}}{q}_{(a,b)(a+k,b+l)}$	$-({\lambda }_{ab}^{(1)}+{\lambda }_{ab}^{(2)}+{\mu }_{ab}^{(2)}+{\gamma }_{ab})$
other	0	0