Results 41 to 50 of about 431 (175)

Period-doubling and Neimark–Sacker bifurcations of plant–herbivore models [PDF]

open access: yesAdvances 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
openaire   +2 more sources

Exploring Ecological Dynamics and Bifurcation Structure of a Prey–Predator Model

open access: yesComplexity, Volume 2026, Issue 1, 2026.
The present work examines the dynamical features of a discrete‐time Rosenzweig–MacArthur predator–prey system in which the predation rate is modulated by prey density. Through a combination of theoretical derivations and computational experiments, we establish the occurrence of period‐doubling (PD) and Neimark–Sacker (NS) bifurcations, both of which ...
M. D. Mutakabbir Khan   +3 more
wiley   +1 more source

Complex Dynamics of Intelligence‐Level Adjustment in Intelligent and Connected Vehicle Manufacturers

open access: yesComplexity, Volume 2026, Issue 1, 2026.
Against the backdrop of software monetization and carbon constraints reshaping competition, it is necessary to identify the stability boundary for intelligence adjustment. We build a heterogeneous duopoly of fuel‐vehicle (FV) and new‐energy‐vehicle (NEV) firms that jointly choose output and intelligence each period, where intelligence shifts effective ...
Chongde Wang   +2 more
wiley   +1 more source

Incorporating Memory Effects in Population Ecology Using Fractional Derivatives: Stability Perspectives, Bifurcations, and Chaos Control

open access: yesComplexity, 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

Neimark-Sacker-Turing Instability and Pattern Formation in a Spatiotemporal Discrete Predator-Prey System with Allee Effect

open access: yesDiscrete Dynamics in Nature and Society, 2018
A spatiotemporal discrete predator-prey system with Allee effect is investigated to learn its Neimark-Sacker-Turing instability and pattern formation.
Huayong Zhang   +4 more
doaj   +1 more source

A Dynamical Analysis of Supply Chain Systems Under a Dynamic Game Framework Considering Green Technology Innovation

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
A dynamic model of a green supply chain, comprising two manufacturers incorporating green technology innovation and one product component supplier, was constructed based on a gradient adjustment mechanism. The dynamic behavior of the system was analyzed through stability analysis of equilibrium points and bifurcation conditions, using parameter ...
Minjuan Li, Ahmed Ezzat Matouk
wiley   +1 more source

The Complex Dynamics of Automobile Manufacturer Competition Model on Video Platforms

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Video platforms have significantly broadened the marketing and advertising channels available to automobile manufacturers, leading to reduced transaction costs and increased profits for participants. Through building a dynamic automobile manufacturer competition model with bounded rationality, we have revealed the following conclusions: Adjustment ...
Jianli Xiao   +2 more
wiley   +1 more source

Dynamical analysis of discretized Logistic model with Caputo- Fabrizio fractional derivative [PDF]

open access: yesComputational Ecology and Software, 2021
In this paper we consider a fractional order Logistic model with Caputo-Fabrizio fractional derivative. By applying two-step Adams-Bashforth scheme, we obtain a system of difference equations.
H. Karakaya   +3 more
doaj  

Bifurcation and Stability of Two-Dimensional Activator–Inhibitor Model with Fractional-Order Derivative

open access: yesFractal and Fractional, 2023
In organisms’ bodies, the activities of enzymes can be catalyzed or inhibited by some inorganic and organic compounds. The interaction between enzymes and these compounds is successfully described by mathematics.
Messaoud Berkal   +1 more
doaj   +1 more source

Controlling Neimark–Sacker bifurcations in discrete-time multivariable systems

open access: yesSystems & Control Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
María Belén D'Amico   +3 more
openaire   +3 more sources

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