Concept explainers
Harvesting in a Predator-Prey Relationship. In a predator-prey situation it may happen that one or perhaps both species are valuable sources of food (for example). Or, the prey may be regarded as a pest, leading to efforts to reduce their number. In a constant-effort model of harvesting, we introduce a term
If we modify the Lotka-Volterra equation by including a self-limiting term
In the absence of harvesting, an equilibrium solution is
a) How does the equilibrium solution change if the prey isharvested, but not the predator
b) How does the equilibrium solution change if the predatoris harvested, but not the prey
c) How does the equilibrium solution change if both areharvested
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Differential Equations: An Introduction to Modern Methods and Applications
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