15.If we modify the Lotka–Volterra equations by including a self-limiting term −σ x2 in the prey equation, and then assume constant-effort harvesting, we obtain the equations x′=x(a−σx−αy−E1),y′=y(−c+γx−E2).x′=xa−σx−αy−E1,y′=y−c+γx−E2. In the absence of harvesting, the equilibrium solution of interest is x = c/γ, y = (a/α) − (σ c)/(αγ). a.How does the equilibrium solution change if the prey is harvested (E1 > 0), but not the predator (E2 = 0)?
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15.If we modify the Lotka–Volterra equations by including a self-limiting term −σ x2 in the prey equation, and then assume constant-effort harvesting, we obtain the equations
In the absence of harvesting, the equilibrium solution of interest is x = c/γ, y = (a/α) − (σ c)/(αγ).
a.How does the equilibrium solution change if the prey is harvested (E1 > 0), but not the predator (E2 = 0)?
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