Table 1 The effects of s on \(J(u^{*})\)
From: Optimal boundary control problems for a hierarchical age-structured two-species model
s | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
J | 7.7 | 18.0 | 32.7 | 51.7 | 75.1 | 102.8 | 134.9 | 171.3 | 212.1 |
s | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
J | 257.2 | 306.6 | 360.4 | 418.6 | 481.1 | 547.9 | 619.1 | 694.7 | 774.6 |
s | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 |
J | 858.8 | 947.4 | 1040.3 | 1137.6 | 1239.2 | 1345.2 | 1455.5 | 1570.2 | 1689.2 |
s | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 |
J | 1812.5 | 1940.2 | 2072.3 | 2208.7 | 2349.4 | 2494.5 | 2644.0 | 2797.8 | 2955.9 |
s | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 |
J | 3118.4 | 3285.2 | 3456.4 | 3631.9 | 3811.8 | 3996.0 | 4184.6 | 4377.5 | 4574.8 |
s | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 |
J | 4776.4 | 4982.3 | 5192.7 | 5407.3 | 5626.3 | 5849.7 | 6077.3 | 6309.4 | 6545.8 |
s | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 |
J | 6786.5 | 7031.6 | 7281.0 | 7534.8 | 7792.9 | 8055.4 | 8322.2 | 8593.4 | 8868.9 |
s | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 |
J | 9148.8 | 9433.0 | 9721.5 | 10,014.0 | 10,312.0 | 10,613.0 | 10,919.0 | 11,230.0 | 11,544.0 |
s | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 |
J | 11,863.0 | 12,186.0 | 12,514.0 | 12,846.0 | 13,183.0 | 13,523.0 | 13,868.0 | 14,218.0 | 14,572.0 |
s | 83 | 84 | 85 | 86 | 87 | 88 | 89 | 90 | 91 |
J | 14,930.0 | 15,292.0 | 15,659.0 | 16,030.0 | 16,406.0 | 16,785.0 | 17,170.0 | 17,558.0 | 17,951.0 |
s | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 | 100 |
J | 18,348.0 | 18,750.0 | 19,156.0 | 19,566.0 | 19,981.0 | 20,400.0 | 20,823.0 | 21,251.0 | 21,683.0 |
s | 101 | 102 | 103 | 104 | 105 | 106 | Â | Â | Â |
J | 22,119.0 | 22,560.0 | 23,005.0 | 23,454.0 | 23,908.0 | 24,366.0 | Â | Â | Â |