Mathematics, 21.11.2019 06:31 Mochalav6675
Simulate the predator-prey equations. a. p (t ) = p (t ) − p (t ) r (t ) r (t ) = − r (t ) + p (t ) r (t ) hint: i used the values alp=0.04; gam=0.08; bet=0.002; del=0.0004. b. add controls u, v to the predator-prey equations. p (t ) = p (t ) − p (t ) r (t ) + u (t ) r(t)= −r(t)+ p(t)r(t)+v(t) the controls could be predator or prey animals added or subtracted from the population (at some rate). suppose, for example, suppose prey animals are added at a fixed rate over a fixed period u(t)=u00 t1tt2 0 elsewhere investigate the impact of this control on the evolution of the population. c. find if possible, feedback control laws that can move the non-trivial equilibrium from its uncontrolled value to a target value. d. use the simulator to check the stability of the new (controlled) equilibrium.
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Mathematics, 21.06.2019 23:00
Someone answer this asap for the first five terms of a sequence are shown. 5, 11, 23, 47, 95, . . which recursive function defines the nth term in the sequence for n > 1? a. f(n) = f(n - 1) + 6 b) f(n) = f(n - 1) + 48 c) f(n) = 3 • f(n - 1) + 1 d) f(n) = 3 • f(n - 1) - 4
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Mathematics, 22.06.2019 04:10
Random variables x poisson~ ( a) ,y poisson ~ ( a) . x and y are independent. if 2 1, 2 1. u =2x+ y-1, v=2x- y +1. find: ) cov (u ,v ).
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Simulate the predator-prey equations. a. p (t ) = p (t ) − p (t ) r (t ) r (t ) = − r (t ) + ...
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