Population dynamics in a Leslie–Gower predator–prey model with predator harvesting at high densities
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 804-838, 15 January 2025.In this paper, we propose a Leslie–Gower predator–prey model in which the predator can only be captured when its population size exceeds a critical value; the mean growth rate of the prey in the absence of the predator is subject to a semi‐saturation rate that affects its birth curve, and the interaction between the two species is defined by a Holling ...
Christian Cortés García
wiley +1 more source
Grazing-sliding bifurcations creating infinitely many attractors [PDF]
, 2017 As the parameters of a piecewise-smooth system of ODEs are varied, a periodic orbit undergoes a bifurcation when it collides with a surface where the system is discontinuous. Under certain conditions this is a grazing-sliding bifurcation. Near grazing-sliding bifurcations structurally stable dynamics are captured by piecewise-linear continuous maps ...
arxiv +1 more source
Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge
Nonlinear Analysis, 2015 A predator–prey system with nonmonotonic functional response and prey refuge is considered. We mainly obtain that the system has the bifurcations of cusp-type codimension two and three, these illustrate that the dynamic behaviors of the model with prey ...
Xia Liu, Jinling Wang
doaj +1 more source
Organization at criticality enables processing of time‐varying signals by receptor networks
Molecular Systems Biology, 2020 How cells utilize surface receptors for chemoreception is a recurrent question spanning between physics and biology over the past few decades. However, the dynamical mechanism for processing time‐varying signals is still unclear.
Angel Stanoev +2 more
doaj +1 more source
Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
wiley +1 more source
Local Bifurcations in DC-DC Converters [PDF]
arXiv, 2012 Three local bifurcations in DC-DC converters are reviewed. They are period-doubling bifurcation, saddle-node bifurcation, and Neimark bifurcation. A general sampled-data model is employed to study the types of loss of stability of the nominal (periodic) solution and their connection with local bifurcations.
arxiv
Coulomb-actuated microbeams revisited: experimental and numerical modal decomposition of the saddle-node bifurcation. [PDF]
Microsyst Nanoeng, 2021 Melnikov A +7 more
europepmc +1 more source
On bifurcation points of the stationary Vlasov-Maxwell system with bifurcation direction [PDF]
arXiv, 2000 The theorem on the existence of bifurcation points of the stationary solutions for the Vlasov-Maxwell system with bifurcation direction is proved.
arxiv
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks
SIAM Journal on Applied Dynamical Systems, 2023 32 ...
openaire +2 more sources
Chaos in driven Alfvén systems: unstable periodic orbits and chaotic saddles [PDF]
Nonlinear Processes in Geophysics, 2007 The chaotic dynamics of Alfvén waves in space plasmas governed by the derivative nonlinear Schrödinger equation, in the low-dimensional limit described by stationary spatial solutions, is studied.
A. C.-L. Chian +5 more
doaj