平衡点

特征值

平衡条件

λ 1

λ 2

λ 3

( 0 , 0 , 0 )

C 1 + F 2 + β I + F 3

C 2 + F 2 + ( 1 β ) I + F 1

C 3 + R 1 + θ k R 2

λ 1 < 0

λ 2 < 0

λ 3 < 0

( 1 , 0 , 0 )

( C 1 + F 2 + β I + F 3 )

C 2 + F 2 + β I + F 1

S 1 + F 2 C 3 + R 1 + θ k R 2

( 0 , 1 , 0 )

C 1 + ( 1 β ) I + F 3

+ C 2 F 2 ( 1 β ) I F 1

S 2 + F 2 C 3 + R 1 + θ k R 2

( 0 , 0 , 1 )

S 1 C 1 + F 3

S 2 C 2 + F 1

C 3 R 1 θ k + R 2

( 1 , 1 , 0 )

( 1 β ) I + C 1 F 3

β I + C 2 F 1 F 2

S 1 + S 2 + F 2 C 3 + R 1 + θ k R 2

( 1 , 0 , 1 )

S 1 + C 1 F 3

S 2 + C 2 F 1

S 2 F 2 + C 3 R 1 θ k + R 2

( 0 , 1 , 1 )

S 1 C 1 + F 3

S 2 + C 2 F 1

S 1 F 2 + C 3 R 1 θ k + R 2

( 1 , 1 , 1 )

S 1 + C 1 F 3

S 2 + C 2 F 1

( S 1 + S 2 + F 2 C 3 + R 1 + θ k R 2 )