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Consider the Ricker population model presented in class,Rt+1=F(Rt) =aRte−bRt,whereRtis the total mass of the recruits in timet.(a) Verify thatais ‘proliferation’ in the model, that is, verifya=F′(0).(b) What are the equilibria in this model? Derive conditions for when they arestable and unstable.(c) Re-write the model, so that it only has parametersaandk, wherea=F′(0)andkis the positive equilibrium.(d) Using your new model, in part (c), andR, plot time series (Rtvs.t) givenR0= 2,a= 2, andk= 100, fromt= 0 tot= 25. Repeat fora= 10,a= 13anda= 18. How do your calculations in part (b) help explain the behaviourin these graphs?(e) Generate an orbit diagram for your model in (c), in other words plotRt, forallt∈[1,000,1,500], vs.a, froma= 0 toa= 35

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Tellus molestie nunc non blandit massa enim nec dui. Tellus molestie nunc non blandit massa enim nec dui. Ac tortor vitae purus faucibus ornare suspendisse sed nisi. Pharetra et ultrices neque ornare aenean euismod. Pretium viverra suspendisse potenti nullam ac tortor vitae. Morbi quis commodo odio aenean sed. At consectetur lorem donec massa sapien faucibus et. Nisi quis eleifend quam adipiscing vitae proin sagittis nisl rhoncus. Duis at tellus at urna condimentum mattis pellentesque. Vivamus at augue eget arcu dictum varius duis at. Justo donec enim diam vulputate ut. Blandit libero volutpat sed cras ornare arcu. Ac felis donec et odio pellentesque diam volutpat commodo. Convallis a cras semper auctor neque. Tempus iaculis urna id volutpat lacus. Tortor consequat id porta nibh.

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MATH 1073 Essential Mathematics

Task: Context In this unit you have studied measurement, scales and data. This task requires you to focus on Measurement The Lone Pine Koala Sanctuary is promoting creativity and innovation in Brisbane’s youth. They have called out for senior school students to design creative multipurpose a ...

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Algebraic Expressions

Bendigo Kangan Institute trading a s Bendigo TAFE a nd Ka ngan Institute. RTO 3077 | CRICOS provider number 01218G Vers ion 1.0 Last sa ved 30 April 2022 Pa ge 1 of 9 Written Assessment – Student Instructions Details Student name Student ID Qualification code and ...

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