00:01
Hello everyone, so the given question asks, consider the latka violator competition equations that describe the population dynamics of two species where species one has a growth rate of point seven and a k of 180, while species 2 has a growth rate of 0 .8 and k of 200.
00:17
The effect of species 2 on a species 1, alpha is 0 .6 and beta is 0 .4.
00:23
Use a graphical isuline analysis, plot the zero net growth isoclines for both species.
00:30
Different colors to determine if two species can coexist or not if not which one will win be sure to label all components of the graph and show population trajectories in each area of the plot so let's write what's given so here i have drawn this graph which shows the given equation in the question so k when is given to be 180 alpha is given to be 0 .6 r1 is given to be as 0 .7 k2 is given to be 200, beta is given as 0 .4, and r2 is equal to 0 .8.
01:09
Where k1 is the carrying capacity, k1 is the carrying capacity of species 1, k2 is the carrying capacity of species 2, alpha is the effect of species 2 and effect 1, beta is the effect of species 1 and species 2, r1 is the growth rate of species 1, and r2 is the growth rate of species 2.
01:26
Now, by the given equation we can write it as k1 is proportional to k2 by beta and similarly k2 is proportional to k1 by alpha.
01:38
Right...