Results 21 to 30 of about 382 (138)
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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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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Discrete Dynamics in Nature and Society, 2012 A new bifurcation critical criterion of flip-Neimark-Sacker bifurcation is proposed for detecting or anticontrolling this type of codimension-two bifurcation of discrete systems in a general sense. The criterion is built on the properties of coefficients
Shengji Yao
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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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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
PD control at Neimark–Sacker bifurcations in a Mackey–Glass system
Advances in Difference Equations, 2018 This article focuses on a proportional-derivative (PD) feedback controller to control a Neimark–Sacker bifurcation for a Mackey–Glass system by the Euler method.
Yuanyuan Wang
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Complexity, Volume 2026, Issue 1, 2026.This work examines a two‐dimensional discrete Leslie‐type predator–prey system in which the prey dynamics are subject to the Allee effect. The primary objective is to determine equilibrium states and examine bifurcation phenomena in the neighborhood of the positive fixed point, highlighting their ecological significance.
Md. Mutakabbir Khan +3 more
wiley +1 more source
Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect
Mathematics, 2023 In this paper, we deduce a predator–prey model with discrete time in the interior of R+2 using a new discrete method to study its local dynamics and Neimark–Sacker bifurcation.
Binhao Hong, Chunrui Zhang
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Exploring Ecological Dynamics and Bifurcation Structure of a Prey–Predator Model
Complexity, 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
Complexity, 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