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害虫治理
SI
模型的最优脉冲控制策略
陈苗苗,裴永珍,梁西银,吕云飞
The Optimal Strategies of
SI
Pest Control Models with Impulsive Intervention
Miaomiao Chen,Yongzhen Pei,Xiyin Liang,Yunfei Lv
表 1
三种控制策略的对比
类型
最优参数
J
∗
S
∗
(
t
f
)
固定时刻的
不变综合控制
μ
∗
=
0.5866
,
δ
∗
=
0.2969
10.2645
3.6677
非固定时刻的
交替综合控制
τ
∗
1
=
11.2839
,
τ
∗
2
=
7.9073
,
τ
∗
3
=
6.879
,
τ
∗
4
=
12.7458
,
μ
∗
1
=
0.6
,
μ
∗
3
=
0.1039
,
δ
∗
2
=
0.2
,
δ
∗
4
=
0.3932
4.3162
1.8627
非固定时刻的
变量综合控制
τ
∗
1
=
13.9982
,
τ
∗
2
=
10.9573
,
τ
∗
3
=
1
,
τ
∗
4
=
11.1756
,
μ
∗
1
=
0.1
,
μ
∗
2
=
0.4771
,
μ
∗
3
=
0.199
,
μ
∗
4
=
0.1365
,
δ
∗
1
=
1.8346
,
δ
∗
2
=
0.3812
,
δ
∗
3
=
0.6944
,
δ
∗
4
=
0.2
9.3975
2.1933