Prey-predator systems with delay: Hopf bifurcation and stable oscillations

DOI10.1016/S0895-7177(97)00076-9zbMath0893.92029WikidataQ115564137 ScholiaQ115564137MaRDI QIDQ1368437

Giampiero Pecelli

Publication date: 27 August 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

periodic orbitssymbolic computationHopf bifurcationprey-predator models

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Oscillation theory of functional-differential equations (34K11) Ecology (92D40) Periodic solutions to functional-differential equations (34K13)

Related Items (1)

Dynamics of a Ivlev-type predator-prey system with constant rate harvesting

Uses Software

• Maple

Cites Work

• Delay differential equations: with applications in population dynamics
• Hopf bifurcation calculations for functional differential equations
• Global stability of Gause-type predator-prey systems
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Theory of functional differential equations. 2nd ed
• Periodic solutions for a prey-predator differential delay equation
• Integral averaging and bifurcation
• Competing Predators
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