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  1. 1241

    Qualitative Analysis of the Discretization of a Continuous Fractional Order Prey-Predator Model with the Effects of Harvesting and Immigration in the Population by Md. Jasim Uddin, Sarker Md. Sohel Rana

    Published 2024-01-01
    “…We show analytically that a fractional order prey-predator model supports both a Neimark–Sacker (NS) bifurcation and a period-doubling (PD) bifurcation under specific parametric circumstances. Using the central manifold and bifurcation theory, we provide evidence for NS and PD bifurcations. …”
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  2. 1242
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    Chaos and bifurcation analysis of tumor-immune controlled system with time delay by Danni Wang, Hongli Yang, Liangui Yang

    Published 2025-04-01
    “…The Flip bifurcation and Neimark–Sacker bifurcation of system are proved by the normal form method, central manifold theorem, and bifurcation theory. The Gram–Schmidt orthonormalization (GSO) method is used to interpret the attractor properties of uncontrolled and controlled systems, it is revealed that the attractors of controlled systems are smaller than those of uncontrolled systems, and the theoretical and numerical results are consistent. …”
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    Mathematical Modeling, Analysis, and Optimal Control of Corruption Dynamics by Haileyesus Tessema Alemneh

    Published 2020-01-01
    “…From the analysis using center manifold theory, the model exhibits forward bifurcation. …”
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  11. 1251

    Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect by Xinhong Pan, Min Zhao, Chuanjun Dai, Yapei Wang

    Published 2014-01-01
    “…Second, the formulae that determine the direction of the Hopf bifurcation and the stability of periodic solutions are obtained using the normal form and the center manifold theory. Furthermore, our main results are illustrated using numerical simulations.…”
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    Workplace surveillance: examining current instruments, limitations and legal background issues by Ulrike Hugl

    Published 2013-01-01
    “…Reasons for employers to monitor employees’ behavior are manifold: from an avoidance of malicious insider threats, the prevention of image damage, increased productivity, and through to reduced costs. …”
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