Cameron M. Rehmani Seraji Week 2

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Cameron M. Rehmani Seraji Electronic Notebook

Cameron M. Rehmani Seraji

Purpose

  • The purpose of the Week 2 Assignment was to practice using the functions of MatLab, create a script of two vectors and plot them, and to create a script to compare logistic growth curves.

Methods

  • Part I: Create a script that includes the following elements
    • Define a vector u containing the elements 1,2,3,4,5,6,7,8,9,10 using the colon operation.
      • u=[1:10]
    • Define another vector v containing elements that are the square of the vector x
      • v=u.^2
    • Plot v versus u (make sure you know what that sentence means!!) using circles on the points that are connected with dashed lines
      • plot(u,v)
    • Save your plot as a TIFF file
    • Save your data into an excel spreadsheet using the MATLAB command xlswrite
  • Part II: Create a script to compare logistic growth curves
    • Define a vector t starting at 0, ending at 1, in steps of 0.01.
      • t=[0:0.01:1]
    • Define K = 10 and x0 = 2 for carrying capacity and initial population size.
      • K=10. x0=2
    • Plot logistic growth curves for growth rates 0.5,1.0,1.5, and 2.0.
      • y1=(x0*K)./(K*exp(-0.5*t)-x0*exp(-0.5*t)+x0)
      • y2=(x0*K)./(K*exp(-1.0*t)-x0*exp(-1.0*t)+x0)
      • y3=(x0*K)./(K*exp(-1.5*t)-x0*exp(-1.5*t)+x0)
      • y4=(x0*K)./(K*exp(-2.0*t)-x0*exp(-2.0*t)+x0)
    • Plot these four curves together in one figure, and add appropriate labels, title, and legend.
    • Save your plot as a TIFF file

Results

Part 1

  • Figure 1: Display of the relationships between vector U and vector V.

Vector U (Row 1) and Vector V (Row 2) Data

Part 2

  • Figure 2: Logistic growth curves for r=0.5,1.0,1.5, and 2.0.

Scientific Conclusion

  • The scientific conclusion from the week two assignment is that linear growth curves grow more rapidly as the r value increases and I completed the purpose by plotting u versus v and plotting the four logistic growth curves on the same figure. These curves are shown above.

Acknowledgements

  • I worked with my homework partner Lauren M. Kelly face-to-face in the Seaver computer lab outside of normal class hours. We worked on the MATLAB portion of the assignment together.
  • Except for what is noted above, this individual journal entry was completed by me and not copied from another source.
  • Cameron M. Rehmani Seraji 01:23, 26 January 2017 (EST):

References

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