| | No. | Equilibrium point | Conditions for system to be asymptotical stability |
| | (1) | E1 (0,0,0) | Pr + Sr + Pl < ΔC + Ps, Ln + π2Lr < Cl + Lp, In + Pn < Ca + λMn+(1 − λ)Cn | | (2) | E2 (0,0,1) | Pl + Sr< ΔC + Ps, π2Lr < Cl + ΔIl, In + Pn > Ca + λMn+(1 − λ)Cn | | (3) | E3 (0,1,0) | Pr + Sr< ΔC, Ln + π2Lr > Cl + Lp, Ip + Pn + λMp < Ca+(1 − λ)Cn | | (4) | E4 (0,1,1) | Sr< ΔC, π2Lr > Cl + ΔIl, Ip + Pn + λMp > Ca + (1 − λ)Cn | | (5) | E5 (1,0,0) | Pr + Sr + Pl > ΔC + Ps, I + Ln + π1Lr < Cl + Lp, In < Ca + λMn + (1 − λ)Cn | | (6) | E6 (1,0,1) | Pl + Sr> ΔC + Ps, I + π1Lr < Cl + ΔIl, In > Ca + λMn+(1 − λ)Cn | | (7) | E7 (1,1,0) | Pr + Sr> ΔC, I + Ln + π1Lr > Cl + Lp, Ip + λMp < Ca+(1 − λ)Cn | | (8) | E8 (1,1,1) | ΔC < Sr, I + π1Lr > Cl + ΔIl, Ip + λMp > Ca+(1 − λ)Cn |
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