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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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Dynamic analysis and control of a rice-pest system under transcritical bifurcations [PDF]
PeerJ, 2021 A decision model is developed by adopting two control techniques, combining cultural methods and pesticides in a hybrid approach. To control the adverse effects in the long term and to be able to evaluate the extensive use of pesticides on the environment and nearby ecosystems, the novel decision model assumes the use of pesticides only in an emergency
Sajib Mandal +3 more
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Finite-time nonautonomous bifurcation in impulsive systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The purpose of this article is to investigate nonautonomous bifurcation in impulsive differential equations. The impulsive finite-time analogues of transcritical and pitchfork bifurcation are provided.
Marat Akhmet, Ardak Kashkynbayev
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Mathematics, 2022 Recently, bistable viral infection systems have attracted increased attention. In this paper, we study bistability and robustness for virus infection models with nonmonotonic immune responses in viral infection systems. The results show that the existing
Tengfei Wang, Shaoli Wang, Fei Xu
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Qualitative Theory of Dynamical Systems, 2022 Abstract After a discrete two-species predator-prey system with ratio-dependent functional response is topologically and equivalently reduced, some new dynamical properties for the new discrete system are formulated. The one is for the existence and local stability for all equilibria of this new system.
Li, Xianyi, Liu, Yuqing
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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
Discrete Dynamics in Nature and Society, 2013 The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos.
Junhong Li, Ning Cui
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Scientific Reports, 2023 Using a semidiscretization method, we derive in this paper a discrete slow-fast predator-prey system with ratio-dependent functional response. First of all, a detailed study for the local stability of fixed points of the system is obtained by invoking an
Xianyi Li, Jiange Dong
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Energy Optimization for Transcritical CO2 Heat Pumps for Combined Heating and Cooling and Thermal Storage Applications [PDF]
, 2012 A transcritical heat pump (THP) cycle using carbon dioxide (CO2) as the refrigerant is known to feature an excellent coefficient of performance (COP) as a thermodynamic system.
Yazawa, Kazuaki +3 more
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Transcritical Bifurcations and Algebraic Aspects of Quadratic Multiparametric Families
WSEAS TRANSACTIONS ON MATHEMATICS, 2021 This article reveals an analysis of the quadratic systems that hold multiparametric families therefore, in the first instance the quadratic systems are identified and classified in order to facilitate their study and then the stability of the critical points in the finite plane, its bifurcations, stable manifold and lastly, the stability of the ...
Contreras, Jorge Rodríguez +3 more
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