Results 71 to 80 of about 1,013 (204)
Complexity, Volume 2025, Issue 1, 2025.We investigate the nonlinear dynamics of a discrete‐time predator–prey model governed by a Holling Type‐II functional response. Starting from a biologically motivated continuous‐time system, we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters.
Muhammad Rafaqat +4 more
wiley +1 more source
, 2021 The dynamics behavior of a discrete-time three-species food chain model is investigated. By using bifurcation theory, it is shown that the equilibrium point of the system loses its stability, and the system undergoes Neimark–Sacker bifurcation, which ...
Ding Yin, Li Jiacheng, Guo Feng
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Stability Analysis of a Discrete‐Time Predator–Prey Model Using Piecewise Constant Argument
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This paper offers a thorough analysis of the discrete‐time predator–prey model obtained by using the piecewise constant argument technique. Our principal findings demonstrate that the coexistence fixed exhibits rich dynamical behavior, undergoing both Neimark–Sacker and period‐doubling bifurcations as ecological parameters vary. These bifurcations lead
Muhammad Rafaqat +5 more
wiley +1 more source
, 2022 This article investigates the dynamical properties of a discrete time SIS-Epidemic model incorporating logistic growth rate and Allee effect. The forward Euler discretization method is employed to obtain the discrete-time model. All possible fixed points
Resmawan, Resmawan +3 more
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Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya +4 more
wiley +1 more source
Hopf and Neimark-Sacker bifurcations: applications to discrete-time hypercycles with functional shifts [PDF]
, 2021 Hypercycles are cyclic catalytic sets of replicating macromolecules, where each one of the species catalyzes the replication of the next species of the set.
Perona García, Júlia
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Open Mathematics, 2022 In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin +3 more
doaj +1 more source
IET Power Electronics, Volume 17, Issue 15, Page 2250-2261, 25 November 2024.The strong non‐linear characteristics inherent in wireless power transmission systems with constant power loads often lead to unstable singular operations in actual systems. Revealing the emergence and evolution mechanism of the non‐linear characteristics of the system is an effective way to analyse and control the singular operation of actual ...
Liangyu Huang
wiley +1 more source
Bifurcations and chaos in a novel discrete economic system
Advances in Mechanical Engineering, 2019 In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
doaj +1 more source
STABILITY AND NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE POPULATION MODEL
Journal of Applied Analysis & Computation, 2014 Summary: In this paper, a semi-discrete model is derived for a nonlinear simple population model, and its stability and bifurcation are investigated by invoking a key lemma we present. Our results display that a Neimark-Sacker bifurcation occurs in the positive fixed point of this system under certain parametric conditions. By using the center manifold
Wang, Cheng, Li, Xianyi
openaire +2 more sources