Matlab:Basic population model
Jump to navigation
Jump to search
% % BASIC MAGICAL GIRL-WITCHES MODEL % This file has been produced for FreeMat 4.0 % The syntax of the plot commands may differ from Matlab. % % If you want to modify the constants, please bear these restrictions in mind: % -C should be an integer % -D, B, N and K should be values in [0,1] % -B should be greater than K (or else, the number of witches will be negative) % C = 100; % Amount of Magical Girls contracted by Kyubey, per iteration D = 0.25; % Proportion of girls getting killed, per iteration B = 0.125; % Proportion of girls becoming witches, per iteration N = 0.015; % Proportion of familiars maturing into witches, per iteration K = 0.12; % Proportion of witches getting killed M(1) = 0; W(1) = 0; hold on for t=1:100 deltaM = C-(D+B)*M(t); deltaW = N*W(t) + (B-K)*M(t); M(t+1)=M(t)+deltaM; W(t+1)=W(t)+deltaW; end title('Evolution of the Magical Girls population over time') xlabel('time') ylabel('number of magical girls/witches') plot(M, 'g.-') plot(W, 'r.-') legend('Magical Girls', 'Witches', 'location', 'southeast') legend('boxoff') hold off