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
$\mu^*=0.5866, \delta^*=0.2969$10.26453.6677
非固定时刻的
交替综合控制
$\tau^{*}_1=11.2839, \tau^{*}_2=7.9073, \tau^{*}_3=6.879, \tau^{*}_4=12.7458, $
$\mu^{*}_1=0.6, \mu^{*}_3=0.1039, \delta^{*}_2=0.2, \delta^{*}_4=0.3932$
4.31621.8627
非固定时刻的
变量综合控制
$\tau^{*}_1=13.9982, \tau^{*}_2=10.9573, \tau^{*}_3=1, \tau^{*}_4=11.1756, $
$\mu_1^*=0.1, \mu_2^*=0.4771, \mu_3^*=0.199, \mu_4^*=0.1365, $
$\delta_1^*=1.8346, \delta_2^*=0.3812, \delta_3^*=0.6944, \delta_4^*=0.2$
9.39752.1933