Results 81 to 90 of about 18,412 (196)

Dynamic analysis of a communicable disease fractional order model incorporating vaccination and multiple time delays

open access: yesAlexandria Engineering Journal
This work presents a delayed fractional-order model that explores the impact of vaccination and multiple time-delays on the infectious disease dynamics.
Deepika Solanki   +3 more
doaj   +1 more source

Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors

open access: yesComplexity, 2021
Chaotic attractors with no equilibria, with an unstable node, and with stable node-focus are presented in this paper. The conservative solutions are investigated by the semianalytical and seminumerical method.
Mingshu Chen   +3 more
doaj   +1 more source

Andronov-Hopf Bifurcations in Planar, Piecewise-Smooth, Continuous Flows

open access: yes, 2007
An equilibrium of a planar, piecewise-$C^1$, continuous system of differential equations that crosses a curve of discontinuity of the Jacobian of its vector field can undergo a number of discontinuous or border-crossing bifurcations.
Banerjee   +20 more
core   +1 more source

Mathematical Modeling of Forest Biomass Dynamics: A Focus on Seedling Contribution in Case of Wonsho Woreda (Kileye and Gishere), Sidama Regional State, Ethiopia

open access: yesNatural Resource Modeling, Volume 39, Issue 1, February 2026.
ABSTRACT In this study, we introduce a mathematical ecology model that describes the interactions among forest biomass, the human population, various development activities, and seedlings. The study applies modified Leslie‐Gower and Holling type II functional responses to capture these interactions.
Shegena Geshele Donka   +2 more
wiley   +1 more source

Bifurcation Analysis and Spatiotemporal Patterns of Nonlinear Oscillations in a Ring Lattice of Identical Neurons with Delayed Coupling

open access: yesAbstract and Applied Analysis, 2014
We investigate the dynamics of a delayed neural network model consisting of n identical neurons. We first analyze stability of the zero solution and then study the effect of time delay on the dynamics of the system.
Jiao Jiang, Yongli Song
doaj   +1 more source

Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception

open access: yesStudies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley   +1 more source

Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System

open access: yesAbstract and Applied Analysis, 2013
A delayed modified Leslie-Gower predator prey system with nonlinear harvesting is considered. The existence conditions that an equilibrium is Bogdanov-Takens (BT) or triple zero singularity of the system are given. By using the center manifold reduction,
Xia Liu, Jinling Wang
doaj   +1 more source

Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons

open access: yes, 2018
We study the dynamics of a low-dimensional system of coupled model neurons as a step towards understanding the vastly complex network of neurons in the brain.
Aminzare, Zahra   +3 more
core   +1 more source

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

open access: yesStudies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley   +1 more source

Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function

open access: yesAbstract and Applied Analysis, 2014
We consider an SIR endemic model in which the contact transmission function is related to the number of infected population. By theoretical analysis, it is shown that the model exhibits the bistability and undergoes saddle-node bifurcation, the Hopf ...
Guihua Li, Gaofeng Li
doaj   +1 more source

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