Multiple limit cycles in predator-prey models
From MaRDI portal
Publication:1158121
DOI10.1007/BF00275824zbMath0471.92022OpenAlexW2087659855WikidataQ113909264 ScholiaQ113909264MaRDI QIDQ1158121
Publication date: 1981
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00275824
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Ecology (92D40)
Related Items
Complex dynamic behavior of a discrete-time predator-prey system of Holling-III type ⋮ Bifurcation analysis of two predator-prey models ⋮ Bifurcation and chaotic behavior of a discrete-time predator-prey system ⋮ Alternative dynamical states in stage-structured consumer populations ⋮ Persistence and extinction in the anti-symmetric Lotka-Volterra systems ⋮ Dynamics of mutualism-competition-predator system with Beddington-DeAngelis functional responses and impulsive perturbations ⋮ Dynamics of multi-species competition-predator system with impulsive perturbations and Holling type III functional responses ⋮ Mathematical models of the microbial populations and issues concerning stability ⋮ Multiple limit cycles and global stability in predator-prey model ⋮ Oscillations in a system with material cycling ⋮ Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems ⋮ STABILITY ANALYSIS OF A TRITROPHIC FOOD CHAIN MODEL WITH AN ADAPTIVE PARAMETER FOR THE PREDATOR ⋮ Qualitative analysis of additional food provided predator-prey system with anti-predator behaviour in prey ⋮ Bifurcations and chaos control in a discrete-time prey-predator model with Holling type-II functional response and prey refuge ⋮ Hopf bifurcation and stability of a competition diffusion system with distributed delay ⋮ Delays in recruitment at different trophic levels: Effects on stability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A higher-order Hopf bifurcation formula and its application to Fitzhugh's nerve conduction equation
- Time delay in prey-predator models
- Bifurcation phenomena in FitzHugh's nerve conduction equations
- Age structure effects in predator-prey interactions
- 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
- Time delay in prey-predator models. II: Bifurcation theory
- A model predator-prey system with functional response
- Global stability of two species systems
- The application of the Poincaré-transform to the Lotka-Volterra model
- Spatial heterogeneity and the stability of predator-prey systems: Predator-Mediated coexistence
- Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
- LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
- Attractivity and Hopf bifurcation
