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State space model for buck and grass

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A game reserve has two grass fields separated by a crocodile infested river. Buck live on both sides of the river...

Conserved Variable = State Variables which are defined...

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Finally I have found the solution to this problem:

Let x1 be the buck per year in field 1
x2 be the buck per year in field 1
g1 be the grass (kg) per year in field 1
g2 be the grass (kg) per year in field 2

Apply conservation law to the quantity of buck per year in field 1:
= Birth - Death - Eaten by crocodile +/- Net rate leaving field 1 or ...

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