Results 51 to 60 of about 382 (138)
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
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
Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
IEEE Access, 2019 Bifurcation is considered the main mathematical mechanism for the formation of spatial self-organizing patterns in many studies. When bifurcation was initially defined, only the transition of the system from stable state to unstable state or from uniform
Feifan Zhang +4 more
doaj +1 more source
IEEE Access, 2020 Vegetation pattern is one of the most important self-organized patterns in ecological systems. The formation mechanism of vegetation patterns has been attributed to dynamic bifurcations, while from the external perspective, the regularity of patterns ...
Feifan Zhang +4 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
Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect
Journal of Biological Dynamics, 2017 In this paper, we study the global dynamics and bifurcations of a two-dimensional discrete time host–parasitoid model with strong Allee effect. The existence of fixed points and their stability are analysed in all allowed parametric region.
Abdul Qadeer Khan +2 more
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Numerical detection of suppression of quasi‐periodic solutions
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 3, October 2024.Abstract Dynamical systems can show so‐called quasi‐periodic solutions, which are composed of two or more so‐called incommensurable frequencies. Solving these systems in the time‐domain is not favorable, due to the fact that quasi‐periodic solutions have no finite periodicity, thus it is unclear how long simulations must be carried out in order to ...
Alexander Seifert, Hartmut Hetzler
wiley +1 more source
Stability and Bifurcations in a Discrete-Time Eco-Evolutionary Logistic Model
MathematicsIn this paper I study a two-dimensional discrete-time evolutionary logistic-type model describing the coupled dynamics of population density and a continuously evolving trait.
Rafael Luís
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Neimark-Sacker Bifurcation and Chaos Control in a Fractional-Order Plant-Herbivore Model
Discrete Dynamics in Nature and Society, 2017 This work is related to dynamics of a discrete-time 3-dimensional plant-herbivore model. We investigate existence and uniqueness of positive equilibrium and parametric conditions for local asymptotic stability of positive equilibrium point of this model.
Qamar Din, A. A. Elsadany, Hammad Khalil
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Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model
IEEE Access, 2019 In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li +4 more
doaj +1 more source