In: Advanced Math
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.