Hello,
Is there a possibility to disorder the periodicity in some predator-prey model?
I'm looking for some example.
What is the reason that could cause the disorder?
What about the system's behaviour after disordering its periodicity?
Thanks...
Hello,
Is there a possibility to disorder the periodicity in some predator-prey model?
I'm looking for some example.
What is the reason that could cause the disorder?
What about the system's behaviour after disordering its periodicity?
Thanks...
Yes, the solutions are $\displaystyle x=Ce^{At}$ (non periodic). This is different from the standard model:
$\displaystyle \begin{Bmatrix} x'=(A-Cy)x\\y'=(Dx-B)y\end{matrix}\quad A,B,C,D>0$
whose orbits are closed (periodic solutions) with only one equilibrium point at $\displaystyle (B/D,A/C)$ .