Obiekt
Tytuł: Bifurcation and control for a discrete-time prey-predator model with Holling-IV functional response
Współtwórca:
Korbicz, Józef - red. ; Uciński, Dariusz - red.
Tytuł publikacji grupowej:
Abstract:
The dynamics of a discrete-time predator?prey model with Holling-IV functional response are investigated. It is shown that the model undergoes a flip bifurcation, a Hopf bifurcation and a saddle-node bifurcation by using the center manifold theorem and bifurcation theory. ; Numerical simulations not only exhibit our results with the theoretical analysis, but also show the complex dynamical behaviors, such as the period-3, 6, 9, 12, 20, 63, 70, 112 orbits, a cascade of period-doubling bifurcations in period-2, 4, 8, 16, quasi-periodic orbits, an attracting invariant circle, an inverse period-doubling bifurcation from the period-32 orbit leading to chaos and a boundary crisis, a sudden onset of chaos and a sudden disappearance of the chaotic dynamics, attracting chaotic sets and non-attracting sets. ; We also observe that when the prey is in chaotic dynamics the predator can tend to extinction or to a stable equilibrium. Specifically, we stabilize the chaotic orbits at an unstable fixed point by using OGY chaotic control.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 23, number 2 (2013) ; kliknij tutaj, żeby przejść
Jezyk:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Typy utworów > Artykuły
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS)
- Zielonogórska Biblioteka Cyfrowa > Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2013)
Data ostatniej modyfikacji:
2024-04-22
Data dodania obiektu:
2024-04-11
Liczba wyświetleń treści obiektu:
4
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/88618
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 1 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 2 (2013)
- Bifurcation and control for a discrete-time prey-predator model with Holling-IV functional response
- An analytical and numerical approach to a bilateral contact problem with nonmonotone friction
- The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation
- A general transfer function representation for a class of hyperbolic distributed parameter systems
- Descriptor fractional linear systems with regular pencils
- Decentralized design of interconnected H[the sign of infinity] feedback control systems with quantized signals
- Asynchronous distributed state estimation for continuous-time stochastic processes
- Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
- An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
- A comparison of Jacobian-based methods of inverse kinematics for serial robot manipulators
- State estimation for a class of nonlinear systems
- Double fault distinguishability in linear systems
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 3 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 4 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 1 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
| Nazwa wydania | Data |
|---|---|
| Bifurcation and control for a discrete-time prey-predator model with Holling-IV functional response | 2024-04-22 |
