Results 31 to 40 of about 2,221 (187)
Period-doubling and Neimark–Sacker bifurcations of plant–herbivore models [PDF]
Advances 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
Entropy, 2017 Wind-induced vegetation patterns were proposed a long time ago but only recently a dynamic vegetation-sand relationship has been established. In this research, we transformed the continuous vegetation-sand model into a discrete model.
Feifan Zhang +4 more
doaj +1 more source
Complicate dynamics of a discrete predator-prey model with double Allee effect
Mathematical Modelling and Control, 2022 In this paper, a discrete predator-prey model with double Allee effect is discussed. We first simplify the corresponding continuous predator-prey model, and use the semidiscretization method to obtain a new discrete model.
Shaosan Xia, Xianyi Li
doaj +1 more source
Discrete Dynamics in Nature and Society, 2018 We present in this paper an investigation on a discrete predator-prey system with Crowley-Martin type functional response to know its complex dynamics on the routes to chaos which are induced by bifurcations.
Huayong Zhang +5 more
doaj +1 more source
Numerical bifurcation and hybrid control of a Gompertz model with time delay
Journal of Hebei University of Science and Technology, 2019 In order to study the stability of species, the biological systems are required to reduce or expand the stable region. For a Gompertz model with time delay, a hybrid control Euler method is proposed in which state feedback and parameter perturbation are ...
Jizhi SONG, Yuanyuan WANG
doaj +1 more source
On the Neimark–Sacker bifurcation in a discrete predator–prey system [PDF]
Journal of Biological Dynamics, 2010 A two-parameter family of discrete models describing a predator-prey interaction is considered, which generalizes a model discussed by Murray, and originally due to Nicholson and Bailey, consisting of two coupled nonlinear difference equations. In contrast to the original case treated by Murray, where the two populations either die out or may display ...
A N W, Hone, M V, Irle, G W, Thurura
openaire +2 more sources
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations [PDF]
, 2019 In this paper we perform the parameter-dependent center manifold reduction near the generalized Hopf (Bautin), fold-Hopf, Hopf-Hopf and transcritical-Hopf bifurcations in delay differential equations (DDEs).
Bosschaert, Maikel M. +2 more
core +3 more sources
NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL
Journal of Applied Analysis & Computation, 2018 Summary: In this paper, we derive a semi-discrete system for a nonlinear model of blood cell production. The local stability of its fixed points is investigated by employing a key lemma from [\textit{C. Wang} and \textit{X. Li}, J. Appl. Anal. Comput. 4, No. 4, 419--435 (2014; Zbl 1323.92193), J. Math. Anal. Appl. 422, No.
Li, Wei, Li, Xianyi
openaire +2 more sources
Analytical investigation of single and double Neimark-Sacker bifurcations
Periodica Polytechnica Mechanical Engineering, 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 of valid help during the investigation.
HABIB, Giuseppe +2 more
openaire +4 more sources
Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples [PDF]
, 2013 Explicit computational formulas for the coefficients of the periodic normal forms for codimension 2 (codim 2) bifurcations of limit cycles in generic autonomous ODEs are derived.
De Witte, Virginie +3 more
core +1 more source