Results 101 to 110 of about 170,441 (221)
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
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Bifurkasi Pada Model Penyebaran Penyakit MERS-CoV di Dua Wilayah dengan Populasi Konstan
Jambura Journal of Mathematics, 2022 Middle East Respiratory Syndrome Coronavirus (MERS-CoV) is caused by a novel coronavirus and it can be a human-to-human transmission disease. World Health Organization (WHO) reported the disease outbreak first happened in Saudi Arabia in 2012 and the ...
Livia Owen
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Neimark-Sacker, flip and transcritical bifurcation in a symmetric system of difference equations with exponential terms [PDF]
, 2021 Chrysoula Mylona +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao +2 more
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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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Singularity theory study of overdetermination in models for L-H transitions
, 1999 Two dynamical models that have been proposed to describe transitions between low and high confinement states (L-H transitions) in confined plasmas are analysed using singularity theory and stability theory.
D. Thomas +17 more
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Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We consider a family of structured population models from adaptive dynamics in which cells transition through a number of growth states, or classes, before division. We prove the existence and global asymptotic stability of invariant (‘resident') manifolds in that family; furthermore, we re‐derive conditions under which scarce mutants can ...
Nikola Popović
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, 2015 Linear augmentation has recently been shown to be effective in targeting desired stationary solutions, suppressing bistablity, in regulating the dynamics of drive response systems and in controlling the dynamics of hidden attractors.
Karnatak, Rajat
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Complexity, Volume 2025, Issue 1, 2025.This paper proposes a deterministic nonlinear epidemic model, SEQAIHRS, incorporating media coverage for the analysis of infectious disease transmission dynamics, considering quarantine and isolation control strategies in a community with pre‐existing immunity, and taking into account both asymptomatic and symptomatic infections. The model examines two
Mohammad Idrees +6 more
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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
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