Abstrakti
In this paper, a discrete-time system, derived from a predator-prey
system by Euler’s method with step one, is investigated in the closed first quad-
rant R2+. It is shown that the discrete-time system undergoes fold bifurcation,
flip bifurcation and Neimark-Sacker bifurcation, and the discrete-time system
has a stable invariant cycle in the interior of R2+ for some parameter values.
Numerical simulations are provided to verify the theoretical analysis and show
the complicated dynamical behavior. These results reveal far richer dynamics
of the discrete model compared with the same type continuous model.
system by Euler’s method with step one, is investigated in the closed first quad-
rant R2+. It is shown that the discrete-time system undergoes fold bifurcation,
flip bifurcation and Neimark-Sacker bifurcation, and the discrete-time system
has a stable invariant cycle in the interior of R2+ for some parameter values.
Numerical simulations are provided to verify the theoretical analysis and show
the complicated dynamical behavior. These results reveal far richer dynamics
of the discrete model compared with the same type continuous model.
| Alkuperäiskieli | englanti |
|---|---|
| Lehti | Discrete and Continuous Dynamical Systems. Series B |
| Vuosikerta | 6 |
| Numero | 3 |
| Sivut | 559-572 |
| Sivumäärä | 14 |
| ISSN | 1531-3492 |
| DOI - pysyväislinkit | |
| Tila | Julkaistu - 2006 |
| Julkaistu ulkoisesti | Kyllä |
| OKM-julkaisutyyppi | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä, vertaisarvioitu |