Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

answer question with mathlab cobwebbing for thumbs up 1.2.9. The technique of cobwebbing to study iterated models is not limited to just logistic growth. Graphically

answer question with mathlab cobwebbing for thumbs up

image text in transcribedimage text in transcribedimage text in transcribed

1.2.9. The technique of cobwebbing to study iterated models is not limited to just logistic growth. Graphically determine the populations for the next six time increments in each of the models of Figure 1.5 using the initial populations shown. Figure 1.5. Cobweb graphs for problem 1.2.9. function () = cobweb (PO,K,r,N); & The function calculates N generation with the initial & population PO and the logistic model with parameters # KO and r. Then a cobweb graph is drawn. & Generate storage space for the generations and population data | T=0;N; P = zeros (1,N+1); & Find the population value P(1)...P(N+1) P(1)=P0; for i=1:N P(i+1) = L(P(i),K,r); end % Values for diagonal and function plot x = (0:1000)/1000*K*(1+1/r); y = L(x,K,r); % Generate data for cobweb for i=1:N-1 xc(2*i-1) = P(i); yc(2*i-1) = P(i); xc(2*i) = P(i); yc(2*i) = P(i+1); end % Plot plot(x,x,'-r',x,y,'-b',c, yc,'-'); ylim( [0,max( [L(K*(1/r+1)/2,K,r),P])]); xlabel('Population P_{t-1}'); ylabel('Population P_{t}'); temp = ('$P_0=$' num2 str(PO)', initial growth rate $r=$' num2 str(r)', Capacity' num2 str(K)', ' num2 str(N)' time steps' ); T-title({'\textbf{Cobweb for Logistic Model}', temp} ); set (T, 'Interpreter', 'latex'); end & Logistic mapping function [y] = L(x,K,r) y = x.*(1+r*(1-x./K)); end 1.2.9. The technique of cobwebbing to study iterated models is not limited to just logistic growth. Graphically determine the populations for the next six time increments in each of the models of Figure 1.5 using the initial populations shown. Figure 1.5. Cobweb graphs for problem 1.2.9. function () = cobweb (PO,K,r,N); & The function calculates N generation with the initial & population PO and the logistic model with parameters # KO and r. Then a cobweb graph is drawn. & Generate storage space for the generations and population data | T=0;N; P = zeros (1,N+1); & Find the population value P(1)...P(N+1) P(1)=P0; for i=1:N P(i+1) = L(P(i),K,r); end % Values for diagonal and function plot x = (0:1000)/1000*K*(1+1/r); y = L(x,K,r); % Generate data for cobweb for i=1:N-1 xc(2*i-1) = P(i); yc(2*i-1) = P(i); xc(2*i) = P(i); yc(2*i) = P(i+1); end % Plot plot(x,x,'-r',x,y,'-b',c, yc,'-'); ylim( [0,max( [L(K*(1/r+1)/2,K,r),P])]); xlabel('Population P_{t-1}'); ylabel('Population P_{t}'); temp = ('$P_0=$' num2 str(PO)', initial growth rate $r=$' num2 str(r)', Capacity' num2 str(K)', ' num2 str(N)' time steps' ); T-title({'\textbf{Cobweb for Logistic Model}', temp} ); set (T, 'Interpreter', 'latex'); end & Logistic mapping function [y] = L(x,K,r) y = x.*(1+r*(1-x./K)); end

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Transactions On Large Scale Data And Knowledge Centered Systems Xxiv Special Issue On Database And Expert Systems Applications Lncs 9510

Authors: Abdelkader Hameurlain ,Josef Kung ,Roland Wagner ,Hendrik Decker ,Lenka Lhotska ,Sebastian Link

1st Edition

366249213X, 978-3662492130

More Books

Students also viewed these Databases questions

Question

Do not get married, wait until I come, etc.

Answered: 1 week ago

Question

Employ effective vocal cues Employ effective visual cues

Answered: 1 week ago