Table 5.

Existence and Stability Chart for System (1.2) with Combining Treatment.

Condition	BRN	Cases	E0	Eab	Ea,ab	Eb,ab	Ew,ab
rab < min{rw + h, ra + h, rb + h}	$R_0=\frac{b\mathrm{\Lambda }}{d(c+r_{ab})}$	R0 < 1	stable	∄	∄	∄	∄
		R0 > 1	unstable	stable	*	*	*
ra + h < min{rw + h, rb + h, rab}	$R_0=\frac{b\mathrm{\Lambda }}{d(c+r_a+h)}$	R0 < 1	stable	∄	∄	∄	∄
		R0 > 1	unstable	*	stable	*	*
rb + h < min{rw + h, ra + h, rab}	$R_0=\frac{b\mathrm{\Lambda }}{d(c+r_b+h)}$	R0 < 1	stable	∄	∄	∄	∄
		R0 > 1	unstable	*	*	stable	*
rw + h < min{ra + h, rb + h, rab}	$R_0=\frac{b\mathrm{\Lambda }}{d(c+r_w+h)}$	R0 < 1	stable	∄	∄	∄	∄
		R0 > 1	unstable	*	*	*	stable

Here * represents that if the equilibrium exists, it is unstable.