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
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Endogenous fluctuations in the demand for education [PDF]
Enrolment rates to higher education reveal quite large variation over time which cannot be explained by productivity shocks alone. We develop a human capital investment model in an overlapping generations framework that features endogenous fluctuations ...
Neugart, Michael, Tuinstra, Jan
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Dynamics of a Discrete Internet Congestion Control Model
Discrete Dynamics in Nature and Society, 2011 We consider a discrete Internet model with a single link accessed by a single source, which responds to congestion signals from the network. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation ...
Yingguo Li
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Complicate dynamical properties of a discrete slow-fast predator-prey model with ratio-dependent functional response. [PDF]
Sci Rep, 2023 Li X, Dong J.
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Deterministic randomness in a model of finance and growth [PDF]
Following the literature on growth, cycles and financial development, this paper develops an endogenous growth model where the source of endogenous business cycles relates to the allocation of credit between productive investment and consumption.
Gomes, Orlando
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Predicting discrete-time bifurcations with deep learning. [PDF]
Nat Commun, 2023 Bury TM +6 more
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Neimark-Sacker bifurcation for the discrete-delay Kaldor model [PDF]
We consider a discrete-delay time, Kaldor non-linear business cycle model in income and capital. Given an investment function, resembling the one discussed by Rodano, we use the linear approximation analysis to state the local stability property and ...
Dobrescu, Loretti Isabella +1 more
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The Bifurcation of Two Invariant Closed Curves in a Discrete Model
Discrete Dynamics in Nature and Society, 2018 A discrete population model integrated using the forward Euler method is investigated. The qualitative bifurcation analysis indicates that the model exhibits rich dynamical behaviors including the existence of the equilibrium state, the flip bifurcation,
Yingying Zhang, Yicang Zhou
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On the qualitative study of a discrete-time phytoplankton-zooplankton model under the effects of external toxicity in phytoplankton population. [PDF]
Heliyon, 2022 Khan MS +3 more
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