Results 61 to 70 of about 3,877 (218)
Global dynamics of a novel delayed logistic equation arising from cell biology [PDF]
, 2019 The delayed logistic equation (also known as Hutchinson's equation or Wright's equation) was originally introduced to explain oscillatory phenomena in ecological dynamics.
Baker, Ruth E., Röst, Gergely
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha +2 more
wiley +1 more source
Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi +3 more
wiley +1 more source
Critical Stokes number for the capture of inertial particles by recirculation cells in 2D quasi-steady flows [PDF]
, 2016 Inertial particles are often observed to be trapped, temporarily or permanently, by recirculation cells which are ubiquitous in natural or industrial flows.
Angilella, Jean-Régis, Verjus, Romuald
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A Multiparameter Singular Perturbation Analysis of the Robertson Model
Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
wiley +1 more source
Population dynamics in a Leslie–Gower predator–prey model with predator harvesting at high densities
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 804-838, 15 January 2025.In this paper, we propose a Leslie–Gower predator–prey model in which the predator can only be captured when its population size exceeds a critical value; the mean growth rate of the prey in the absence of the predator is subject to a semi‐saturation rate that affects its birth curve, and the interaction between the two species is defined by a Holling ...
Christian Cortés García
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Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
wiley +1 more source
On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study examines the hub number of ring graphs and investigates their behavior under operations such as union, intersection, and join. Different findings for this parameter are found for a variety of types of ring graphs, such as commutative ring graphs, path ring graphs, complete ring graphs, cycle ring graphs, and star ring graphs, for which the ...
Mohammed Alsharafi +3 more
wiley +1 more source
Stability of fronts in the diffusive Rosenzweig–MacArthur model
Studies in Applied Mathematics, Volume 153, Issue 4, November 2024.Abstract We consider a diffusive Rosenzweig–MacArthur predator–prey model in the situation when the prey diffuses at a rate much smaller than that of the predator. In a certain parameter regime, the existence of fronts in the system is known: the underlying dynamical system in a singular limit is reduced to a scalar Fisher–KPP (Kolmogorov–Petrovski ...
Anna Ghazaryan +3 more
wiley +1 more source
Electronic Current Density Induced by Uniform Magnetic Fields in Clarenes
Chemistry – A European Journal, Volume 30, Issue 43, August 1, 2024.Calculations of the magnetic response are reported for few selected clarenes, the most stable isomers among cycloarenes, as identified by maximization of the number of Clar sextets, and tested computationally. Only some of the rings endowed with a Clar sextet show an exaltation of the diatropic ring current, as could have been expected based on ...
Guglielmo Monaco +3 more
wiley +1 more source