Results 61 to 70 of about 2,202 (135)
Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
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Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function
Abstract 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
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Multiple bursting patterns in lateral habenula neurons: Experiments and computational model
The Journal of Physiology, Volume 604, Issue 8, Page 3396-3412, 15 April 2026.Abstract figure legend LHb neurons display a variety of bursting patterns, as well as being silent or displaying a tonic or irregular firing pattern. In a set of patch‐clamp experiments in ex vivo mouse lateral habenula (LHb), we were able to record from a number of cells showing characteristic bursts of a few distinguishable types.
Dmitry Fedorov +5 more
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
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Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
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Trends in Computational and Applied Mathematics, 2002 A paradigm model for an air-conditioning system is studied: heat flux to and from one end of a bar is a (nonlinear) function of the temperature at the other end.
G. KALNA, S. McKEE
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Triple-zero singularity of a Kaldor–Kalecki model of business cycles with delay
Nonlinear Analysis, 2013 In this manuscript, we study triple zero singularity of a Kaldor–Kalecki model of business cycles with delay in both the gross product and the capital stock.
Xiaoqin P. Wu
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Limit Cycles of the Three-dimensional Quadratic Differential System via Hopf Bifurcation
مجلة بغداد للعلومIn this study, the quadratic 3-dimensional differential system is considered, in which the origin of the coordinate becomes the Hopf equilibrium point.
Aram A. Abddulkareem Abddulkareem +2 more
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Discrete Dynamics in Nature and Society, 2013 The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
Bo Yang
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Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
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