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Student IT Software Installation Guides MATLAB R2020a ¡ª macOS Account Registration 1. On the MathWorks website, select Sign In at the top right-hand corner. 2. SelectCreateAccount. 1 studentit.unimelb.edu.au Prepared March 2020 3. Enteryourpersonaldetailsusingyouruniversityemailaddress *username*@student.unimelb.edu.au or *username*@unimelb.edu.au if you are a staff member (replace *username* with your own university username). 4. CheckyouruniversityemailtoverifyyourMathWorksaccount. 2 studentit.unimelb.edu.au Prepared March […]

School of Computing and Information Systems SWEN90004 Modelling Complex Software Systems Complex Systems Workshop 2 solutions The exercises 1. Logistic map (a) The population dies out (x ¡ú 0). Large values of x0 will collapse rapidly before fading away. (b) The system converges to a stable fixed point attractor (a constant population size), the exact

SWEN90004 Modelling Complex Software Systems Lecture Cx.03 ODE Models I: Predator-Prey Artem Polyvyanyy, Nic Geard artem.polyvyanyy@unimelb.edu.au; nicholas.geard@unimelb.edu.au Semester 1, 2021 1 / 28 Recap 􏰀 complex systems 􏰀 building a mathematical model 􏰀 assumptions 􏰀 states 􏰀 update rules 􏰀 population growth models 􏰀 exponential 􏰀 logistic 􏰀 behaviour of dynamic systems 􏰀 fixed points

SWEN90004 Modelling Complex Software Systems Lectures Cx.04 ODE Models II: Epidemics Artem Polyvyanyy, Nic Geard artem.polyvyanyy@unimelb.edu.au; nicholas.geard@unimelb.edu.au Semester 1, 2021 1 / 51 Recap 􏰀 building a mathematical model 􏰀 starting with a simple model 􏰀 extending models to include additional aspects of real world 􏰀 models: 􏰀 populaton growth 􏰀 species interaction (predator-prey) 􏰀

SWEN90004 Modelling Complex Software Systems Lecture Cx.02 Dynamical Systems and Chaos Artem Polyvyanyy, Nic Geard artem.polyvyanyy@unimelb.edu.au; nicholas.geard@unimelb.edu.au Semester 1, 2021 SLIDE 1 Overview In this lecture, you will learn about: 􏰀 using mathematics to model a system’s behaviour 􏰀 two mathematical models of population growth (exponential and logistic) 􏰀 chaotic behaviour in (discrete) systems SLIDE

SWEN90004 Modelling Complex Software Systems Lecture Cx.03 ODE Models I: Predator-Prey Artem Polyvyanyy, Nic Geard artem.polyvyanyy@unimelb.edu.au; nicholas.geard@unimelb.edu.au Semester 1, 2021 1 / 28 Recap I complex systems I building a mathematical model I assumptions I states I update rules I population growth models I exponential I logistic I behaviour of dynamic systems I fixed points

The University of Melbourne SWEN90004: Modelling Complex Software Systems Workshop Cx.02: Dynamical Systems and ODE Models First Semester, 2021 This workshop aims to give students more experience at exploring models of dynamical systems and modelling with ODEs in MATLAB. Your tasks 1. Logistic Map Consider a simple discrete time dynamical system: The Logistic Map. xt+1