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134 The UMaP Journal 30.2(2009) 一--一-如a一一L-4--1 1- Task 3 Task 3a: Develop a commercial polyculture to remediate bolinao We start from the model of Task 1(the Bolinao coral reef ecosystem model before farming), introduce filter feeders, and revise the model. We renumber the species, with algae as 1, filter feeders as 2, herbivores as 3, and milkfish as 4. Following the same modeling principles as earlier, we arrive at the system: ()=a11 N1-0122-0 a2() M2+2M1-N (=-吗2(-1-8+m-am), a4()=T44 N where we now use k for the constant of feedstuff We solve this system in Matlab to obtain the numbers of algae, filter feeders, herbivorous fish, and milkfish:(14314, 6092, 6129, 6979). Figure 7 shows the system tending toward equilibrium.134 The UMAP Journal 30.2 (2009) 1x 0d, 1 5 10 15 20 25 30 35 40 45 50 Figure 6. Comparisonbetween observed values and simulated values. Task 3 Task 3a: Develop a commercial polyculture to remediate Bolinao We start from the model of Task 1 (the Bolinao coral reef ecosystem model before farming), introduce filter feeders, and revise the model. We renumber the species, with algae as 1, filter feeders as 2, herbivores as 3, and milkfish as 4. Following the same modeling principles as earlier, we arrive at the system: a 1 2 3 2 =r2X2 - X2 07231 _ 0'7 (5) ±4()=4 x ( 3i-p ± - 4 -+a0-8 asE ) where we now use k for the constant of feedstuff. We solve this system in Matlab to obtain the numbers of algae, filter feeders, herbivorous fish, and milkfish: (14314, 6092, 6129, 6979). Figure 7 shows the system tending toward equilibrium. p l I a: l 4 lI , l lI II l I I I I 4 lIO - I1 I l I I I i l I l I I :4 I I I I r I I I I I I I I I I I 1 , I i I l li l I T I I I l I l l 4 I Il l I x 10 3 2 I
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