The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
From MaRDI portal
Publication:4429762
DOI10.1137/S0036139901393494zbMath1035.34043WikidataQ115525492 ScholiaQ115525492MaRDI QIDQ4429762
Publication date: 28 September 2003
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items
Stabilization of Prey Predator Model via Feedback Control, DYNAMICS OF A MODIFIED HOLLING-TANNER PREDATOR-PREY MODEL WITH DIFFUSION, Probabilistic mechanisms of the noise-induced oscillatory transitions in a Leslie type predator-prey model, The effect of habitat fragmentation on cyclic population dynamics: a numerical study, Qualitative analysis of a stochastic ratio-dependent Holling-Tanner system, Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality, The stability and bifurcation analysis of a discrete Holling-Tanner model, Unnamed Item, Stability and bifurcation analysis of a delayed Leslie-Gower predator-prey system with nonmonotonic functional response, Bifurcation branch and stability of stationary solutions of a predator–prey model, Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model, Predator-prey dynamics with square root functional responses, The role of transmissible diseases in the Holling-Tanner predator-prey model, Pattern formation of a spatial predator-prey system, Pattern dynamics of a diffusive predator–prey model with delay effect, Qualitative analysis of a prey-predator model with prey refuge and intraspecific competition among predators, Pattern formation in a cross-diffusive Holling-Tanner model, Linking bifurcation analysis of Holling–Tanner model with generalist predator to a changing environment, A strongly coupled predator-prey system with modified Holling-tanner functional response, Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model, Bifurcations of a diffusive predator–prey model with prey‐stage structure and prey‐taxis, A Leslie-Gower Holling-type II ecoepidemic model, Unnamed Item, Analysis of a spatial predator-prey model with delay, Turing Pattern Induced by Cross-Diffusion in a Predator–Prey Model with Pack Predation-Herd Behavior, Bifurcation analysis of a modified Holling-Tanner predator-prey model with time delay, Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population, TRAVELLING WAVES IN INVASION PROCESSES WITH PATHOGENS, A Generalist Predator and the Planar Zero-Hopf Bifurcation, Spatiotemporal Dynamics Induced by Michaelis–Menten Type Prey Harvesting in a Diffusive Leslie–Gower Predator–Prey Model, Global bifurcation for a Holling-Tanner predator-prey model with prey-taxis, Dynamics in a diffusive predator-prey system with ratio-dependent predator influence, Numerical simulation and qualitative analysis for a predator-prey model with B-d functional response, Shape effects on herd behavior in ecological interacting population models, Dynamics of a diffusive Leslie-Gower predator-prey system with ratio-dependent Holling III functional response, Relaxation oscillations for Leslie-type predator-prey model with Holling type I response functional function, Propagation of Turing patterns in a plankton model, Unnamed Item, On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting, Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response, Nonconstant positive steady states and pattern formation of 1D prey-taxis systems, Stationary patterns of the Holling-Tanner prey-predator model with diffusion and cross-diffu\-sion, A three-species food chain system with two types of functional responses, Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system, Non-constant positive steady states for a predator-prey cross-diffusion model with Beddington-DeAngelis functional response, Phase portraits, Hopf bifurcations and limit cycles of the Holling-Tanner models for predator-prey interactions, Modeling herd behavior in population systems, Turing–Hopf Bifurcation and Spatio-Temporal Patterns of a Ratio-Dependent Holling–Tanner Model with Diffusion, Dynamic analysis of a fractional order prey-predator interaction with harvesting, Spatiotemporal dynamics of a diffusive Leslie-Gower prey-predator model with strong allee effect, Unnamed Item, Spatiotemporal Dynamics of a Modified Leslie–Gower Model with Weak Allee Effect, Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system, Canard limit cycle of the Holling-Tanner model, Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response, Qualitative analysis on a reaction-diffusion prey-predator model and the corresponding steady-states, Spatial patterns of the Holling–Tanner predator–prey model with nonlinear diffusion effects, Spatiotemporal dynamics in a diffusive Holling-Tanner model near codimension-two bifurcations, Spatial patterns of a fractional type cross-diffusion Holling-Tanner model, Dynamics of a predator-prey system with mixed functional responses, SPATIAL PATTERN FORMATIONS IN DIFFUSIVE PREDATOR-PREY SYSTEMS WITH NON-HOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS, Nonlinear dynamics of a delayed Leslie predator-prey model
Uses Software