Subharmonic solutions of periodically forced predator-prey systems
From MaRDI portal
Publication:4291848
DOI10.1016/0362-546X(94)90224-0zbMath0810.92019WikidataQ115599066 ScholiaQ115599066MaRDI QIDQ4291848
Publication date: 15 May 1994
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
combinatorial problemLyapunov-Schmidt methodtime-periodic perturbationsbifurcation of subharmonicsexistence of \(k\)th-order subharmonicsperiodically forced predator-prey systems
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative theory for ordinary differential equations (34C99) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic theory for ordinary differential equations (34E99)
Related Items
Mathematical analysis of an HIV model with impulsive antiretroviral drug doses, Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The period in the Lotka-Volterra system is monotonic
- Forced prey-predator oscillations
- Global solution branches of two point boundary value problems
- The theory of prey-predator oscillations
- The Period in the Volterra–Lotka Predator-Prey Model
- The periods of the Volterra-Lotka system.
- STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
- Stability of Subharmonic Solutions
- On harmonic and subharmonic solutions of nonlinear second order equations: symmetry and bifurcation
- Interaction of damping and forcing in a second order equation