Periodic solutions of a forced Lotka-Volterra equation

DOI10.1016/0022-247X(87)90026-6zbMath0644.34032MaRDI QIDQ1102426

B. George

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

2-species predator-prey modellocal bifurcation curves

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (8)

Periodic perturbations of quadratic planar polynomial vector fields ⋮ Continuity of periodic solutions for Lotka-Volterra equations in coefficient functions ⋮ Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ Inverse problems on bifurcation from families periodic solutions ⋮ Subharmonic bifurcations near infinity ⋮ Forced frequency locking for differential equations with distributional forcings ⋮ Abstract forced symmetry breaking and forced frequency locking of modulated waves ⋮ Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems.

Cites Work

• A remark on the period of the periodic solution in the Lotka-Volterra system
• An example of bifurcation to homoclinic orbits
• Dynamic behavior from bifurcation equations
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• Periodic integral manifolds for periodically forced Volterra-Lotka equations
• Bifurcation near degenerate families
• Interaction of damping and forcing in a second order equation
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