In many fishery science models, the rate at which a species is caught is assumed to be
Chapter 10, Problem 9(choose chapter or problem)
In many fishery science models, the rate at which a species is caught is assumed to be directly proportional to its abundance. If both predator and prey are being exploited in this manner, the Lotka-Volterra differential equations take the form where 1 and 2 are positive constants. (a) When 2 d, show that there is a new critical point in the first quadrant that is a center. (b) Volterras principle states that a moderate amount of exploitation increases the average number of prey and decreases the average number of predators. Is this fisheries model consistent with Volterras principle?
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