The following equations show another version of Lotka-Volterra equations where two species benefit from each other, inst

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The Following Equations Show Another Version Of Lotka Volterra Equations Where Two Species Benefit From Each Other Inst 1 (36.54 KiB) Viewed 44 times

The following equations show another version of Lotka-Volterra equations where two species benefit from each other, instead of a prey-predator relationship as we have discussed in the notes. In this case, the population of the two species become steady instead of having alternative peaks in the prey-predator scenario. Assuming x(t) and y(t) are the population of the two species, the equations are given by der = 72 - 02? + Bicy dy = yay - a2y2 + Boxy where de do 71 -0.1 aj = 0.002 B, = 0.001 72 - 02 Q2 = 0.018 B2 -0.002 (t 0 - 200 ye 0) - 100 What is the steady value of y(0? you can assume it is y(t) when t>200) Correct your answer to the nearest integer If you use the Euler's method, consider At 0.1