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Table 2 Effects of \(g_{i}\) on \(J(u^{*})\)

From: Optimal boundary control problems for a hierarchical age-structured two-species model

s

0

1

2

3

4

5

6

7

8

9

J

1059.2

1062.1

1065.0

1068.8

1071.6

1074.5

1077.4

1080.2

1083.1

1086.0

s

10

11

12

13

14

15

16

17

18

19

J

1088.9

1091.7

1094.6

1097.5

1100.3

1103.8

1106.6

1109.5

1112.4

1115.3

s

20

21

22

23

24

25

26

27

28

29

J

1118.1

1121.0

1123.9

1126.8

1129.8

1132.7

1135.6

1138.4

1141.3

1144.2

s

30

31

32

33

34

35

36

37

38

39

J

1147.1

1150.3

1153.2

1156.1

1159.0

1161.9

1164.7

1167.6

1170.5

1173.4

s

40

41

42

43

44

45

46

47

48

49

J

1176.2

1179.1

1182.0

1184.9

1187.8

1190.6

1193.5

1196.4

1199.3

1202.1

s

50

51

52

53

54

55

56

57

58

59

J

1205.0

1207.9

1210.8

1213.7

1216.5

1219.4

1222.3

1225.2

1228.1

1230.9

s

60

61

62

63

64

65

66

67

68

69

J

1233.8

1236.7

1239.6

1242.4

1245.3

1248.2

1252.2

1254.0

1256.8

1259.7

s

70

71

72

73

74

75

76

77

78

79

J

1262.6

1265.5

1268.4

1271.2

1274.1

1277.0

1279.9

1283.0

1285.9

1288.8

s

80

81

82

83

84

85

86

87

88

89

J

1291.7

1294.5

1297.4

1300.3

1303.2

1306.1

1308.9

1311.8

1314.7

1317.6

s

90

91

92

93

94

95

96

97

98

99

J

1320.5

1323.4

1326.2

1329.1

1332.0

1334.5

1337.4

1340.3

1343.2

1346.1

s

100

101

102

103

      

J

1349.0

1351.8

1354.7

1357.6

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