Results 51 to 60 of about 963 (172)
, 2021 We present the bifurcation results for the difference equation xn+1=xn2/axn2+xn−12+f where a and f are positive numbers and the initial conditions x−1 and x0 are nonnegative numbers.
E. Pilav +2 more
core +1 more source
Complexity, Volume 2025, Issue 1, 2025.This study explores the dynamics of a discrete‐time predator–prey system, incorporating a Holling type III functional response and prey refuge, through the piecewise constant argument method. This method keeps things consistent and prevents negative population values, which is often a drawback of older techniques. We take a closer look at fixed points,
Faisal Alsharif +6 more
wiley +1 more source
Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays
Discrete Dynamics in Nature and Society, 2011 A class of discrete-time Cohen-Grossberg neural networks with delays is investigated in this paper. By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations ...
Qiming Liu, Rui Xu, Zhiping Wang
doaj +1 more source
MathematicsIn this paper, we use a semi-discretization method to consider the predator–prey model of Leslie type with ratio-dependent simplified Holling type IV functional response.
Luyao Lv, Xianyi Li
doaj +1 more source
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
Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller [PDF]
, 2016 Based on the stability and orthogonal polynomial approximation theory, the ordinary, dislocated, enhancing, and random feedback control methods are used to suppress the Neimark-Sacker bifurcation to fixed point in this paper.
Jun He +4 more
core +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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Analytical investigation of single and double Neimark-Sacker bifurcations
, 2012 The analytical investigation of bifurcations is a very challenging task for many applied scientists and engineers. Often, numerical simulations cannot clarify the complicated dynamics of mechanical systems, in this cases, preprogrammed softwares can be ...
HABIB, Giuseppe +2 more
core +2 more sources