Open Mathematics, 2019 In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
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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 ...
arxiv +1 more source
Possibility of Atherosclerosis in an Arterial Bifurcation Model
BioImpacts, 2011 Introduction: Arterial bifurcations are susceptible locations for formation of atherosclerotic plaques. In the present study, steady blood flow is investigated in a bifurcation model with a non-planar branch.
Omid Arjmandi-Tash +2 more
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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.
arxiv +1 more source
Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model
Mathematical Biosciences and Engineering, 2019 The predation strategy for predators and the avoidance strategy of prey are important topics in ecology and evolutionary biology. Both prey and predators adjust their behaviours in order to gain the maximal benefits and to increase their biomass for each.
Saheb Pal +3 more
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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.
arxiv +1 more source
Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis
Mathematical Biosciences and Engineering, 2019 The paper investigates the steady state bifurcation analysis in a general Ronsenzwing-MacArthur predator prey model with two prey-taxis under Neumann boundary conditions.
Xue Xu , Yibo Wang, Yuwen Wang
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Bifurcation results of positive solutions for an elliptic equation with nonlocal terms
AIMS Mathematics, 2021 In this paper, we investigate the local and global nature for the connected components of positive solutions set of an elliptic equation with nonlocal terms.
Jiaqing Hu, Xian Xu , Qiangqiang Yang
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Dynamics of tuberculosis with fast and slow progression and media coverage
Mathematical Biosciences and Engineering, 2019 A new tuberculosis model with fast and slow progression and media coverage is formulated and analyzed. The basic reproductive number R0 is derived, and the existence and stability of all the equilibria are discussed.
Ya-Dong Zhang, Hai-Feng Huo, Hong Xiang
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Epigonic Totalitarianism in Russia
Politeja, 2019 This article aims to identify the dynamics of the Russian political regime and explain its sources. The article addresses the research problems of what the dynamics of the Russian political regime entailed from the beginning of the Russo- Ukrainian war ...
Roman Bäcker, Joanna Rak
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