The Local Bifurcation of Food web Prey-Predator Model involving fear and anti-Predator behavior
Ibn Al-Haitham Journal for Pure and Applied SciencesIn this paper, the conditions under which the occurrence of the local bifurcation (such as saddle-node (SN), transcritical (TC), and pitchfork (PT)) of all stable points of a food web model have been investigated.
Hanna Rasool Hadi, Azhar Abbas Majeed
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Global Structural Stability of a Saddle Node Bifurcation [PDF]
Transactions of the American Mathematical Society, 1978 S. Newhouse, J. Palis, and F. Takens have recently proved the global structural stability of a one parameter unfolding of a saddle node when the nonwandering set is finite and transversality conditions are satisfied. (The diffeomorphism is Morse-Smale except for the saddle node.) Using their local unfolding of a saddle node and our method of compatible
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Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem [PDF]
Nonlinear Analysis: Real World Applications 24 (2015) pp. 108-125, 2015 In this article we study topological bifurcations of critical orbits of equivariant gradient equations. We give necessary and sufficient conditions for the existence of global bifurcations of solutions of these equations. Moreover, we apply these abstract results to the study of bifurcations of new families of planar central configurations of the N ...
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Ibn Al-Haitham Journal for Pure and Applied SciencesIn this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established.
Asmaa Aziz, Azhar Abbas Majeed
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A Series of Saddle - Node Bifurcation and Chaotic Behavior of a Family of a Semi - Triangular Maps [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 This paper studies the bifurcations in dynamics of a family of semi-triangular maps . We will prove that this family has a series of Saddle-node bifurcations and a period doubling bifurcation.
Salma Faris, Ammar Jameel
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An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation [PDF]
, 2020 Solutions of the perturbed Painlev\'e-2 equation are typical for describing a dynamic bifurcation of soft loss of stability. The bifurcation boundary separates solutions of different types before bifurcation and before loss of stability. This border has a spiral structure.
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A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation
Abstract and Applied Analysis, 2011 We consider a nonlinear equation F(ε,λ,u)=0, where the parameter ε is a perturbation parameter, F is a differentiable mapping from R×R×X to Y, and X, Y are Banach spaces.
Ping Liu, Yuwen Wang
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Dynamic analysis of a Leslie-Gower predator-prey model with the fear effect and nonlinear harvesting
Mathematical Biosciences and Engineering, 2023 In this paper, we investigate the stability and bifurcation of a Leslie-Gower predator-prey model with a fear effect and nonlinear harvesting. We discuss the existence and stability of equilibria, and show that the unique equilibrium is a cusp of ...
Hongqiuxue Wu, Zhong Li, Mengxin He
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Uniform approximations for non-generic bifurcation scenatios including bifurcations of ghost orbits [PDF]
Annals of Physics 277 (1999) 19-73, 1999 Gutzwiller's trace formula allows interpreting the density of states of a classically chaotic quantum system in terms of classical periodic orbits. It diverges when periodic orbits undergo bifurcations, and must be replaced with a uniform approximation in the vicinity of the bifurcations.
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Nonautonomous saddle-node bifurcations: Random and deterministic forcing
Journal of Differential Equations, 2012 17 pages, 5 ...
Tobias Jäger, Vasso Anagnostopoulou
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