## Related questions with answers

Question

Determine the system of differential equations corresponding to each compartment model and analyze the stability of the equilibrium (0, 0). a = 0.2, b = 0.1, c = 0, d = 0

Solution

VerifiedStep 1

1 of 2Since the parameters are corresponding to the parameters in the mentioned figure, we can use the matrix $A$ , simulating the mentioned figure with $I=0$, by replacing the parameters by the corresponding values to simulate our system, as follows

$\begin{align*} \dfrac{d\mathbf{x}(t)}{dt}=&\begin{bmatrix}-\overbrace{(0.2+0)}^{a+c}&\overbrace{0.1}^{b}\\\overbrace{0.2}^{a}&-\overbrace{(0.1+0)}^{b+d}\end{bmatrix}\mathbf{x}(t)\\ =&\begin{bmatrix}-0.2&0.1\\0.2&-0.1\end{bmatrix}\mathbf{x}(t) \end{align*}$

Since $c=0$ and $d=0$, no matter leaves the system.

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Calculus for Biology and Medicine

4th Edition•ISBN: 9780134070049 (1 more)Claudia Neuhauser, Marcus Roper4,089 solutions

#### Nelson Science Perspectives 10

1st Edition•ISBN: 9780176355289Christy C. Hayhoe, Doug Hayhoe, Jeff Major, Maurice DiGiuseppe1,359 solutions

#### Miller and Levine Biology

1st Edition•ISBN: 9780328925124 (2 more)Joseph S. Levine, Kenneth R. Miller1,773 solutions

## More related questions

1/4

1/7