We wish to model a population of two fish species by a system of differential eqns....

We wish to model a population of two fish species by a system of differential eqns. x′ = f(x,y), y′ = g(x,y).

Provide a system of differential eqns. that describe the following assumptions:
(a)(5) A predator-prey system in which prey can grow to no limits, but predators die out unless they find prey to eat.
(b)(5) Two species which individually would die out but collaboration enhances survival of BOTH species.
(c)(5) A predator-prey system in which prey can grow with no limits, but predators die out unless they find prey to eat. In addition the PREDATORS are being fished at a constant rate of 100 per units of time.
(d) (5) A predator- prey system in which the prey species is subject to environmental limits to growth(if the population is small it increases at a rate proportional to its size, but for populations > 1000 the rate becomes negative). The predator species dies out unless they have prey to eat.

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Expert Solution

Colby Messinger answered 1 year ago

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