In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let’s modify those equations as follows: dR/dt = 0.08R (1 − 0.0002R) − 0.001RW dW/dt= −0.02W + 0.00002RW (a) According to these equations, what happens to the rabbit population in the absence of wolves?(b) Find all the equilibrium solutions and explain their significance.(c) The figure shows the phase trajectory that starts at the point (1000, 40). Describe what eventually happens to the rabbit and wolf populations.

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Q: equilibrium

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.