Results 31 to 40 of about 5,483 (218)

Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response

open access: yesMathematics, 2023
Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
doaj   +1 more source

Asymptotics of Dynamical Saddle-node Bifurcations

open access: yesNelineinaya Dinamika, 2022
Dynamical bifurcations occur in one-parameter families of dynamical systems, when the parameter is slow time. In this paper we consider a system of two nonlinear differential equations with slowly varying right-hand sides. We study the dynamical saddle-node bifurcations that occur at a critical instant.
openaire   +1 more source

Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting

open access: yesAbstract and Applied Analysis, 2013
The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
doaj   +1 more source

Dynamical Mechanism of Hyperpolarization-Activated Non-specific Cation Current Induced Resonance and Spike-Timing Precision in a Neuronal Model

open access: yesFrontiers in Cellular Neuroscience, 2018
Hyperpolarization-activated cyclic nucleotide-gated cation current (Ih) plays important roles in the achievement of many physiological/pathological functions in the nervous system by modulating the electrophysiological activities, such as the rebound ...
Zhiguo Zhao   +3 more
doaj   +1 more source

Stability and bifurcation analysis of an amensalism model with Crowley-Martin type functional response

open access: yes上海师范大学学报. 自然科学版, 2020
In this paper, an amensalism model with Crowley-Martin type functional response is proposed. The existence and stability of all possible equilibria of the system are investigated.
WEI Zhen, GAN Shengjin
doaj   +1 more source

Bifurcation Theory: A Review [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2023
Bifurcation theory is a field of mathematics that studies the qualitative changes in the               behavior of a dynamical system as a parameter in the system is varied.In this ...
Salma Farris, manal Hamdi
doaj   +1 more source

On the CCN (de)activation nonlinearities [PDF]

open access: yesNonlinear Processes in Geophysics, 2017
We take into consideration the evolution of particle size in a monodisperse aerosol population during activation and deactivation of cloud condensation nuclei (CCN). Our analysis reveals that the system undergoes a saddle-node bifurcation and a cusp
S. Arabas, S. Arabas, S.-I. Shima
doaj   +1 more source

Computational Analysis and Bifurcation of Regular and Chaotic Ca2+ Oscillations

open access: yesMathematics, 2021
This study investigated the stability and bifurcation of a nonlinear system model developed by Marhl et al. based on the total Ca2+ concentration among three different Ca2+ stores.
Xinxin Qie, Quanbao Ji
doaj   +1 more source

Limits to ecological forecasting: Estimating uncertainty for critical transitions with deep learning

open access: yesMethods in Ecology and Evolution, 2023
In the current age of a rapidly changing environment, it is becoming increasingly important to study critical transitions and how to best anticipate them. Critical transitions pose extremely challenging forecasting problems, which necessitate informative
Marcus Lapeyrolerie, Carl Boettiger
doaj   +1 more source

Bifurcation diagram for saddle/source bimodal linear dynamical systems [PDF]

open access: yes, 2016
We continue the study of the structural stability and the bifurcations of planar bimodal linear dynamical systems (BLDS) (that is, systems consisting of two linear dynamics acting on each side of a straight line, assuming continuity along the separating ...
Ferrer Llop, Josep   +2 more
core   +1 more source

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