Results 11 to 20 of about 909 (172)
MathematicsThis study develops a semi-discretized time system from the continuous-time Rosenzweig–-MacArthur model via the method of piecewise constant argument—a discretization approach that preserves both mathematical rigor and biological interpretability. For the proposed system incorporating constant-effort harvesting on both prey and predator populations, we
Xianyi Li, Li Xianyi
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Transcritical bifurcations in nonintegrable Hamiltonian systems [PDF]
Physical Review E, 2008 We report on transcritical bifurcations of periodic orbits in non-integrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties using a recent mathematical description of transcritical bifurcations in families of symplectic maps.
Brack M., Tanaka K.
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Transcritical Bifurcation for the Conditional Distribution of a Diffusion Process
Journal of Theoretical Probability, 2022 In this article, we describe a simple class of models of absorbed diffusion processes with parameter, whose conditional law exhibits a transcritical bifurcation. Our proofs are based on the description of the set of quasi-stationary distributions for general two-clusters reducible processes.
Benaïm, Michel +3 more
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Nonautonomous transcritical and pitchfork bifurcations in impulsive systems [PDF]
Miskolc Mathematical Notes, 2013 For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Akhmet, M. U., Kashkynbayev, A.
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A balance equation determines a switch in neuronal excitability. [PDF]
PLoS Computational Biology, 2013 We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance-based models from a simple mathematical condition. The condition expresses a balance between ion channels that provide a negative
Alessio Franci +3 more
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Effect of energetic electrons on transcritical bifurcation of low-frequency electrostatic waves in plasma [PDF]
مجله علوم و فنون هستهای, 2022 This paper studies the bifurcation types and phase portrait properties of ion-acoustic traveling waves in a plasma comprising warm adiabatic ions and energetic electrons with a nonthermal distribution function. A dynamical system is first derived for the
H. Alinejad
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Transcritical bifurcation in a multiparametric nonlinear system
AIMS Mathematics, 2022 <abstract><p>In this paper we study a multiparametric nonlinear system with a transcritical bifurcation in a region of points of $ \mathbb{R}^3 $. The parametric regions that constitute the boundaries where important qualitative changes occur in the dynamics of the system are determined.
Osmin Ferrer +2 more
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Complex Dynamics of a Predator-Prey System With Gompertz Growth and Herd Behavior
International Journal of Analysis and Applications, 2023 The complex dynamics of a predator-prey system in discrete time are studied. In this system, we consider the prey’s Gompertz growth and the square-root functional response. The existence of fixed points and stability are examined.
Rizwan Ahmed, M. B. Almatrafi
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Bifurcation analysis for Shil'nikov Chaos Electro-dissolution of Copper.
Zanco Journal of Pure and Applied Sciences, 2022 This paper is devoted to study the local bifurcations and stability of three dimensional systems that representing a Shil'nikov chaos during copper electro-dissolution. The local stability analysis of equilibrium points has been studied.
Jihan Mustafa Mirkhan +1 more
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