0:00
All right.
00:01
So for the predator prey model can be described by the set of differential equations.
00:06
First, we have d n, d t, is equal to rn minus a times n p.
00:17
And then secondly, we have the derivative d p, is equal to negative s times p, plus b and p.
00:28
So n of t, n of t, is going to be the number of prey.
00:34
So for example, the rabbits.
00:35
And then we have p of t, which is the number of predators.
00:39
So for example, the foxes, r is going to be the natural growth rate.
00:44
A is going to be the predation rate constant.
00:47
So how many prey are eaten by each predator? s is the natural death rate of predators in the absence of prey.
00:55
And little b here is the production rate of predators...