Results 81 to 90 of about 890 (173)

Functional Shift-Induced Degenerate Transcritical Neimark–Sacker Bifurcation in a Discrete Hypercycle

International Journal of Bifurcation and Chaos
In this paper, we investigate the impact of functional shifts in a time-discrete cross-catalytic system. We use the hypercycle model considering that one of the species shifts from a cooperator to a degrader. At the bifurcation caused by this functional shift, an invariant curve collapses to a point [Formula: see text] while, simultaneously, two fixed
Ernest Fontich, Antoni Guillamón, Júlia Perona, Josep Sardanyés   +3 more
openaire   +3 more sources

Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response

Journal of Biological Dynamics, 2019
The interaction between plants and herbivores is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of plants and herbivores interaction with non-overlapping generations, such that a new
Qamar Din, M. Sajjad Shabbir, M. Asif Khan, Khalil Ahmad   +3 more
doaj   +1 more source

Exploring Transcritical and Pitchfork Bifurcations in Parameter-Varying Systems

Journal of Computational Mathematica
This work explores with an emphasis on limited trajectories close to the origin, as well as their pullback attraction and asymptotic instability, this paper examines non-autonomous trans critical bifurcations as well as pitchfork bifurcation. It examines the circumstances in which bifurcation takes place, using the dynamics outlined in system.
Geethalakshmi S, Kalaiyarasi S, Saraswathi D, Vignesh K   +3 more
openaire   +1 more source

Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination

Partial Differential Equations in Applied Mathematics
Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future.
A. Abdelkhalek, A.H. Abdel Kader, I.L. El-Kalla, A. Elsaid, Amr Elsonbaty, K.S. Nisar   +5 more
doaj   +1 more source

Transcritical Bifurcation and Neimark–Sacker Bifurcation in a Discrete Predator–Prey Model with Constant-Effort Harvesting

Mathematics
This study develops a semi-discretized time system from the continuous-time Rosenzweig–-MacArthur model via the method of piecewise constant argument—a discretization approach that preserves both mathematical rigor and biological interpretability. For the proposed system incorporating constant-effort harvesting on both prey and predator populations, we
Mianjian Ruan, Xianyi Li, Yang Yu, Feng Qian   +3 more
openaire   +1 more source

Stability and Bifurcation Analysis of a Predator–Prey Model With Generalized Allee Effect on the Prey Population

Journal of Mathematics
This research describes a predator–prey system that takes into account the generalized Allee effect, aiming to derive general conclusions applicable to specific Allee effect functions through the use of a generalized function.
Gaji Zhuo, Hua Liu, Danyang Li, Qibin Zhang, Yumei Wei   +4 more
doaj   +1 more source

Nonautonomous transcritical and pitchfork bifurcations in impulsive/hybrid systems

, 2020
123
openaire   +1 more source

Self-supervised reservoir computing with spatial-temporal encoding for identifying critical transitions. [PDF]

Nat Commun
Yang N, Kurths J, Liu R, Chen P.
europepmc   +1 more source

The Role of Fibroblast-Epithelial Cross-Talk on the Distribution of Distinct Fibroblast Phenotypes in the Intestinal Crypt. [PDF]

Bull Math Biol
Atkinson G, Leedham S, Byrne HM.
europepmc   +1 more source

Analysis, control, and forecasting the dynamics of SIRD models with saturated treatment and nonlinear incidence. [PDF]

Sci Rep
Elsonbaty A, Ramaswamy R, Padmaja S, Teklu SW, Abdelkawy MA, El-Mesady A.   +5 more
europepmc   +1 more source