Results 91 to 100 of about 203,161 (272)

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan   +3 more
wiley   +1 more source

Hopf Bifurcation Control in a FAST TCP and RED Model via Multiple Control Schemes

open access: yesJournal of Control Science and Engineering, 2016
We focus on the Hopf bifurcation control problem of a FAST TCP model with RED gateway. The system gain parameter is chosen as the bifurcation parameter, and the stable region and stability condition of the congestion control model are given by use of the
Dawei Ding   +4 more
doaj   +1 more source

Perturbing whole‐brain models of brain hierarchy: An application for depression following pharmacological treatment

open access: yesAnnals of the New York Academy of Sciences, Volume 1550, Issue 1, Page 255-272, August 2025.
We apply whole‐brain models of brain hierarchy based on a thermodynamics of mind framework to investigate state transitions in depression. Dynamic sensitivity analysis explores how psilocybin and escitalopram affect susceptibility and drivability to healthier states.
Marcel Socoró‐Garrigosa   +7 more
wiley   +1 more source

Bifurcation of a Cohen-Grossberg Neural Network with Discrete Delays

open access: yesAbstract and Applied Analysis, 2012
A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine ...
Qiming Liu, Wang Zheng
doaj   +1 more source

Hopf bifurcation analysis in a fractional-order survival red blood cells model and PD α $\mathit{PD}^{\alpha} $ control

open access: yesAdvances in Difference Equations, 2018
In this paper, we put forward a fractional-order survival red blood cells model and study the dynamics through the Hopf bifurcation. When the delay transcends the threshold, a series of Hopf bifurcations occur at the positive equilibrium.
Qingshan Sun   +6 more
doaj   +1 more source

Degenerate Hopf bifurcation in a Leslie–Gower predator–prey model with predator harvest

open access: yesAdvances in Difference Equations, 2020
In this paper, we investigate the degenerate Hopf bifurcation of a Leslie–Gower predator–prey system with predator harvest. The known work discussed the Hopf bifurcation of this system when the first Lyapunov number does not vanish and gave an example of
Juan Su
doaj   +1 more source

Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.
ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky   +3 more
wiley   +1 more source

Permanence and Hopf bifurcation of a delayed eco-epidemic model with Leslie–Gower Holling type III functional response

open access: yesSystems Science & Control Engineering, 2019
This paper is concerned with a delayed eco-epidemic model with a Leslie–Gower Holling type III functional response. The main results are given in terms of permanence and Hopf bifurcation.
Zi Zhen Zhang   +3 more
doaj   +1 more source

Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays

open access: yesAbstract and Applied Analysis, 2013
This paper is concerned with a computer virus model with two delays. Its dynamics are studied in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the positive equilibrium and existence of the local Hopf ...
Zizhen Zhang, Huizhong Yang
doaj   +1 more source

Hopf bifurcation, stability switches and chaos in a prey-predator system with three stage structure and two time delays

open access: yesMathematical Biosciences and Engineering, 2019
A three stage-structured prey-predator model with digestion delay and density dependent delay for the predator is investigated. The stability of the equilibrium point and the Hopf bifurcation of the system by choosing time delay as a bifurcation ...
Shunyi Li
doaj   +1 more source

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