Stability and Neimark–Sacker bifurcation in Runge–Kutta methods for a predator–prey system

DOI10.1080/00207160902787988zbMath1190.65116OpenAlexW1993099402WikidataQ115552365 ScholiaQ115552365MaRDI QIDQ5850767

Qiubao Wang, Ming-Zhu Liu

Publication date: 15 January 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160902787988

zbMATH Keywords

stabilitynumerical exampleHopf bifurcationRunge-Kutta methodsNeimark-Sacker bifurcationpredator-prey system

Mathematics Subject Classification ID

Related Items (5)

Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect ⋮ Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications ⋮ Stability analysis in a second-order differential equation with delays ⋮ Bifurcation analysis in a predator–prey model for the effect of delay in prey ⋮ BIFURCATION ANALYSIS IN A DELAY DIFFERENTIAL EQUATIONS, WHICH CONFERS A STRONG ALLEE EFFECT IN ESCHERICHIA COLI

Cites Work

• Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
• Convergence results in a well-known delayed predator-prey system
• Numerical Hopf bifurcation for a class of delay differential equations
• Bifurcations for a predator-prey system with two delays
• Bifurcation analysis in a predator\,-\,prey system with time delay
• Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems

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