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hwk4 solution(1)

# hwk4 solution(1) - “'I 3.35 Anthem-halt*L \$.53 Insect...

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Unformatted text preview: . “'I 3.35 Anthem-halt *L . \$.53 Insect control via introduction of sterile insects __ RG‘H _ - Raul.“ 1?:- f»— 1+a‘u, NI: emjt-Pu't: “-5., tie-Lu... ._ u . . {2.1.1. s—* , t a ,_4_ f fH+3 «of em+rul slam Li—dunﬁg 3301:: [[RD—1)-u—a-u2 ; Baal-- gal“ bk: EEL'L L in, '3, [141140 teacu. U—i-E‘. 1"": Rﬂa ' 1+au R0112 {3: I'Bifurcation diagram 5 = Sin}. For low values of 5 there are three equilibrium. u = (i, u_lower and umpper, the latter two given by the red curve below. As Sis increased to Sue, u_iower and u_upper moved together and ”collide"; this corresponds to the maJomum in the curve when dedu = t}. This is referred to as a "saddle—node" bifurcation. For 5 :5 S_c there is only.F the equilibrium . “=0- 2: parameters == {RU= ID, a: 1}: piotisabsi parameters. Ssal). a = D “10'. U .123]: =il+amia+\$ ‘D DHMWrPI-U'Im 0 2 .4 E- 3 10 Cobweb diagram wio control, S=ﬂ. There are equilibrium at u = i} {U} and u=9 {5}. 1‘» picture, subsiparameters. f} }, a: {LIE}; ...
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