- #1
agonzale
- 1
- 0
Hi,
I want to analyze a system of ODEs arising in biology of the form:
x'=a1*x*z
y'=b1*x + b2*y
z'=c1 + c2*z + c3*y*z
with x,y,z state variables and a1,b1,b2,c1,c2,c3 constant parameters.
The difference to a linear system of diffs eqs. is that two state variables are multiplied. Therefore, I think that this system falls under the nonlinear systems for which no general solution can be found analytically. Is this correct?
I could not find information on the net on systems of DEs of such a form. Can somebody send me some links about this kind of system with a multiplication of two state vars?
Thank you in advance,
Aitor
I want to analyze a system of ODEs arising in biology of the form:
x'=a1*x*z
y'=b1*x + b2*y
z'=c1 + c2*z + c3*y*z
with x,y,z state variables and a1,b1,b2,c1,c2,c3 constant parameters.
The difference to a linear system of diffs eqs. is that two state variables are multiplied. Therefore, I think that this system falls under the nonlinear systems for which no general solution can be found analytically. Is this correct?
I could not find information on the net on systems of DEs of such a form. Can somebody send me some links about this kind of system with a multiplication of two state vars?
Thank you in advance,
Aitor