Help with C Consider the growth of a population of bacteria

Help with C.

Consider the growth of a population of bacteria. At initial time, N(0) = 0.2 bacteria. The net growth rate has a value, r = 1. Carrying capacity, K = 1. Don’t worry about the units here (you can think of them as fractions of 1000 individuals). You are going to plot out the population to the 30th day, starting at day 0. You can use a spreadsheet or your calculator and paper/pencil, or software like matlab (if you use that). There are many graphical software packages that can manage plotting this.

C) Change the net growth rate to, r = 3. What is the population on each day – plot this. Is this pattern similar to b or different? What is happening to this population? Is it reaching carrying capacity, K?

K-N(t) n(t + 1) = N (t) + rn(t)-K

The population on each day is

DAYS

This pattern is different than b. (look below. ). B has a steady state after reaching the carrying capicity while the graph in c (above) is zig zag and exceeds K at few points.

The population is rapidly increasing and decreasing i.e fluctuating even greater than K at some points. it reachig K at mid points of few days and esceeding then rapidly decreasing.

DAYS
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30

POPULATION NEW SIZE(r=3; K=1)
0.200
0.680
1.333
0.002
0.009
0.034
0.132
0.476
1.224
0.402
1.123
0.707
1.328
0.020
0.078
0.293
0.915
1.148
0.637
1.331
0.010
0.041
0.160
0.564
1.302
0.123
0.445
1.186
0.524
1.273
0.232

This pattern is different than b. (look below. ). B has a steady state after reaching the carrying capicity while the graph in c (above) is zig zag and exceeds K at few points.

The population is rapidly increasing and decreasing i.e fluctuating even greater than K at some points. it reachig K at mid points of few days and esceeding then rapidly decreasing.

Help with C. Consider the growth of a population of bacteria. At initial time, N(0) = 0.2 bacteria. The net growth rate has a value, r = 1. Carrying capacity, K

Help with C Consider the growth of a population of bacteria

Solution

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