Results 41 to 50 of about 1,013 (204)
A Novel Discrete-Time Leslie–Gower Model with the Impact of Allee Effect in Predator Population
Complexity, 2022 The discrete-time system has more complex and chaotic dynamical behaviors as compared to the continuous-time system. This paper extends a discrete Leslie–Gower predator-prey system with the Allee effect in the predator’s population, whose dynamics are ...
S. Vinoth +5 more
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Dynamic Behavior and Bifurcation Analysis of a Difference Equation Including Exponential Terms
Pan-American Journal of MathematicsIn this paper, the local stability, the boundedness, rate of convergence and the conditions of Neimark-Sacker bifurcation concerning difference equation xn+1=α1xn+α2xn-1+β1xnexp(-x2n-1)+β2xn-1exp(-x2n-1), n=0,1, ..., are investigated.
A.A. Elsadany +2 more
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Implementation of a digital evaluation platform to analyze bifurcation based nonlinear amplifiers [PDF]
Advances in Radio Science, 2016 Recently, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have become a focus of attention, especially in the modeling of the mammalian hearing organ.
S. Feldkord, M. Reit, W. Mathis
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Stability and Bifurcation Analysis of a Nonlinear Discrete Logistic Model with Delay
Discrete Dynamics in Nature and Society, 2013 We consider a nonlinear discrete logistic model with delay. The characteristic equation of the linearized system at the positive equilibrium is a polynomial equation involving high order terms.
Daiyong Wu +3 more
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Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay
Complexity, 2020 In this research, a continuous nutrient-phytoplankton model with time delay and Michaelis–Menten functional response is discretized to a spatiotemporal discrete model.
Feifan Zhang +4 more
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Arnol′d tongues arising from a grazing-sliding bifurcation
, 2009 The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
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Neimark-Sacker bifurcation in a discrete dynamical model of population genetics [PDF]
, 2007 In this paper we investigate a genetic model initiated by Gábor Tusnády. This model is a four-dimensional system of difference equations which describes the change of distribution of genotypes from generation to generation in the case of one locus and ...
Attila Dénes, Dénes Attila
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Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.In this research work, a ratio‐dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed.
Muhammad Waqas Yasin +4 more
wiley +1 more source
Period-doubling and Neimark–Sacker bifurcations of plant–herbivore models [PDF]
Advances in Difference Equations, 2019 The interaction between plants and herbivores plays a vital role for understanding community dynamics and ecosystem function given that they are the critical link between primary production and food webs. This paper deals with the qualitative nature of two discrete-time plant–herbivore models. In both discrete-time models, function for plant-limitation
E. M. Elsayed, Qamar Din
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Complexity, Volume 2026, Issue 1, 2026.This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana +2 more
wiley +1 more source