Results 81 to 90 of about 5,483 (218)

DYNAMICAL BEHAVIOR IN THE COMPETITIVE MODEL INCORPORATING THE FEAR EFFECT OF PREY DUE TO ALLELOPATHY WITH SHARED BIOTIC RESOURCES

open access: yesBarekeng
This research develops a mathematical model of a natural phenomenon, namely sea snails that can release toxins (allelopathy) so that non-toxic sea snails become afraid. In addition, toxic and non-toxic sea snails share biotic resources.
Mifta Kharisma Dewi   +2 more
doaj   +1 more source

Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting

open access: yesJournal of Inequalities and Applications, 2021
A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type of the equilibria by analyzing the equations of equilibria and the distribution of eigenvalues.
Lifang Cheng, Litao Zhang
doaj   +1 more source

TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS

open access: yes, 2012
A complete characterization of the stability boundary of a class of nonlinear dynamical systems that admit energy functions is developed in this paper.
Alberto, Luís Fernando Costa   +1 more
core   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

open access: yesSECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Quasi-transversal saddle-node bifurcation on surfaces [PDF]

open access: yesErgodic Theory and Dynamical Systems, 1990
AbstractIn this paper we give a complete set of invariants (moduli) for mild and strong semilocal equivalence for certain two parameter families of diffeomorphisms on surfaces. These families exhibit a quasi-transversal saddle-connection between a saddle-node and a hyperbolic periodic point.
Beloqui, J., Pacifico, M. J.
openaire   +2 more sources

Stability and Bifurcation in a Predator–Prey Model with the Additive Allee Effect and the Fear Effect

open access: yesMathematics, 2020
We proposed and analyzed a predator–prey model with both the additive Allee effect and the fear effect in the prey. Firstly, we studied the existence and local stability of equilibria.
Liyun Lai, Zhenliang Zhu, Fengde Chen
doaj   +1 more source

A minimal model of burst-noise induced bistability. [PDF]

open access: yesPLoS ONE, 2017
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour.
Johannes Falk   +2 more
doaj   +1 more source

Dynamics of Trajectories and Weak Chimera Patterns in the Second‐Order Kuramoto Model With Damping Effects

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study examines the second‐order Kuramoto model within a specific small invariant subspace. We explore how the damping parameter influences the emergence of synchronized states and the weak chimera state in this model. In addition, we numerically investigate various behaviors in the phase space resulting from changes in the damping parameter and ...
Mary G. Thoubaan   +4 more
wiley   +1 more source

Rigorous verification of saddle–node bifurcations in ODEs

open access: yesIndagationes Mathematicae, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah   +4 more
wiley   +1 more source

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