american bison
$30-250 USD
Pagado a la entrega
The Leslie matrix for the American bison is given by
A =(0, 0, 0.42;
0.60, 0, 0;
0, 0.75, 0.95)
The population is divided into calves, yearlings, and adults (age two years or more).
We would like to see how the whole population and the individual classes (calves,
yearlings, and adults) changes over time and how those results vary when we change
the various parameters in the Leslie matrix for the bison population. Thus, if the
matrix
x(0) =
(x1;
x2;
x3)
represents the American bison population at time t = 0, where x1 is the number of
calves, x2 is the number of yearlings, and x3 is the number of adult bison, then
x(t) = A^(t)x(0)
gives the bison population at time t. Suppose, at t = 0, there are 42 calves, 0
yearlings, and 95 adults.
Tasks
1. Using the Matlab skills you have learned in this Unit write an m-file that
(a) Find the number of calves, yearlings, and adults at times
t = {1, 2, 3, 4, 5, 10, 20, 25, 50, 75}
(b) Make a graph that has times t = 0 to 100 on the horizontal axis and
population size along the vertical axis. Plot the calf, yearling, and adult
population sizes for every time step between 0 and 100.
(c) Change the adult bison fecundity to 0.2, 0.42, 1.0, and 1.4. How do these
changes aect the bison population equilibrium structure? Create one
graph that has adult fecundity along the horizontal axis, and equilibrium
population structure along the vertical axis with a data set plotted for each
population class (calves, yearlings, and adults).
(d) Change the calf survival rate to 0.3, 0.5, 0.6, 0.7, and 0.85. How do these
changes aect the the bison population equilibrium structure? Create one
graph that has calf survival rate along the horizontal axis, and equilibrium
population structure along the vertical axis with a data set plotted for each
population class (calves, yearlings, and adults).
(e) Change the adult survival rate to 0, 0.3, 0.5, 0.75, 0.95, and 0.99. How do
these changes aect the bison population equilibrium structure? Create
one graph that has adult survival rate along the horizontal axis, and equi-
librium population structure along the vertical axis with a data set plotted
for each population class (calves, yearlings, and adults).
2. Using Matlab, try to discover any parameter changes that cause the population
to die out by t = 200. You do not need to write an m-le for this exploration.
What conclusions can you make about the possibility of the extinction of the
American bison based on this exploration?
Nº del proyecto: #1306657
Sobre el proyecto
10 freelancers están ofertando un promedio de $58 por este trabajo
First of all I am a mathematician. I have experience working with stochastic processes in particular Markov chains: analysis, simulations, interpretations. So I can make the adjustments required to implement my knowled Más
I work with a partner, we are graduated in math and we have experience in Matlab programming. I can do this project not expensive and save.
I am a PhD student in physics working in Paris, France. I have done similar simulations for my diploma thesis. I can both write the Matlab code and make sure that the results are presented in a visually attractive way, Más
Hello sir. It seems interesting the general idea of your project. I suggest you see your private message, offer some important details for your project.
The program will be done for you in the same I receive it. I could actually do it for you using what every language you are convertable with like Java or maybe C++.