Answer all questions for thumbs up

1.2.4. Using the MATLAB program onepop and many different values for Po, investigate the long-term behavior of the model AP = r P(1 P/10) for r = .2, .8, 1.3, 2.2, 2.5, 2.9, and 3.1. (You may have to vary the number of time steps that you run the model to study some of these.) 1.2.5. Four of the many common ways of writing the discrete logistic growth equation are: AP=r P(1 P/K), AP = s P(K P), AP = TP uP2 P1+1 = vP, wp, Write each of the following in all four of these forms. a. P:+1 = P, +.2P (10 P.) b. P:+1 = 2.5P, - .22,2 function [P] = Logistic(PO,K,r,N); > Starting with the population PO the program % calculates the populations P_1,..P_N using % the logistic equation with parameters K and r. % The values are printed and plotted. P(1) = P0; & index shift by 1 for i=1:N P(i+1) = P(i)*(1+r* (1-P(i)/K)); end; % t-values | t = 0:N; % capacity C =ones (N+1,1)*K; r = %7.5f ',P,K,r); % Print table of values fprintf('Logistic model with parameters P0=%10.1f, K = %10.5f, for i=1:1+1 fprintf('%3d, %14.3f ', t(i),P(i)); end; , Capacity ' num2 str(K) , 'num2 str(N) ' time steps']; % plot values plot(t,P,'o',t,c,'-'); ylim( [0,max (K,max (P) ) +1]); temp = ['$P_0=$' num2 str(PO) ', initial growth rate $r=$' num2 str(r) % title(temp, 'Interpreter', 'latex'); T = title({'\textbf{Discrete Logistic Model}', temp}); set(T, 'Interpreter', 'latex'); xlabel('Time Step'); ylabel('Population'); end % function