An introduction to computer simulation methods: Applications by Harvey Gould PDF

By Harvey Gould

ISBN-10: 0805377581

ISBN-13: 9780805377583

Now in a 3rd variation, this ebook teaches actual ideas utilizing laptop simulations. The textual content contains object-oriented programming concepts and encourages scholars to strengthen strong programming behavior within the context of doing physics. Designed for students in any respect degrees, An advent to computing device Simulation tools makes use of Java, at the moment the most well-liked programming language. The textual content is such a lot properly utilized in a project-oriented direction that we could scholars with a large choice of backgrounds and talents interact.

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Additional info for An introduction to computer simulation methods: Applications to physical systems

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6; 44k=100; 44n=0:1:110; 44figure 44plot(n,eval(vectorize(ra)),’k’) The X axis is population density, with the carrying capacity (K) equal to 100, and the Y axis is the actual rate of population growth per individual (ra ). When N ¼ K, the rate of growth is zero; when N is greater than K, the rate of growth is negative. Label the graph, move it to a Microsoft Word document, and write a ¢gure legend. The logistic equation is developed from the exponential equation by substituting a variable rðra Þ for a constant r, with the value of ra decreasing in a linear fashion with N as shown in your ¢rst graph.

This assumption may be true for some populations, but not for most. The classic logistic equation is easily modi¢ed to adjust for di¡erent relationships between the actual rate of growth per individual and the population density. In this modi¢cation, known as the theta logistic model, the actual rate of growth is described by   y  N ra ¼ rm 1 À K ð6:6Þ which in our computer language is ra = rm*(1-(n/k)^theta). The value of theta depends primarily on the relation between crowding and population density, which in turn depends on the pattern of dispersion (the spatial distribution of individuals).

The Leslie matrix is used to predict this stable age distribution and to calculate the population growth rate after this distribution is established. This technique was developed by Patrick Leslie, a British mathematician, around 1940. A Leslie matrix is constructed from information in a life table. It is not always possible, however, to obtain a complete table with survivorship and fecundity functions for each age class. A stage-structured matrix has at least some of the functions for a stage (rather than an age) of life.

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An introduction to computer simulation methods: Applications to physical systems by Harvey Gould

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