Skip to main content

Table 3 \(J(u^{*})\) corresponding to \(\sigma _{i}\)

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

k

1

2

3

4

5

6

7

8

9

10

J

1079.4

1066.3

1055.0

1044.4

1035.8

1025.3

1018.6

1014.3

1010.5

1001.3

k

11

12

13

14

15

16

17

18

19

20

J

993.5

990.2

983.9

977.9

972.4

964.6

956.8

949.0

944.8

937.2

k

21

22

23

24

25

26

27

28

29

30

J

929.6

922.0

914.4

906.8

899.2

891.6

884.0

876.4

868.8

861.2

k

31

32

33

34

35

36

37

38

39

40

J

853.6

846.0

844.4

843.6

836.4

829.2

822.0

814.8

807.6

800.4

k

41

42

43

44

45

46

47

48

49

50

J

793.2

786.0

779.4

772.2

765.0

757.8

750.6

743.4

736.2

729.0

k

51

52

53

54

55

56

57

58

59

60

J

731.6

724.6

717.6

710.6

703.6

696.6

689.6

682.6

675.6

668.6

k

61

62

63

64

65

66

67

68

69

70

J

661.6

654.6

647.6

640.6

646.3

639.5

632.7

625.9

619.1

612.3

k

71

72

73

74

75

76

77

78

79

80

J

605.5

598.7

591.9

585.1

578.3

571.5

564.7

557.9

551.1

544.3

k

81

82

83

84

85

86

87

88

89

90

J

537.5

530.7

524.3

517.5

510.7

503.9

497.1

490.3

483.5

476.7

k

91

92

93

94

95

96

97

98

99

100

J

469.9

463.1

456.3

449.5

442.7

435.9

429.1

422.3

415.5

408.7

k

101

102

103

104

      

J

401.9

415.2

408.6

402.0

     Â