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Journal of Differential Equations, 1986 AbstractWe consider a piecewise linear second order ordinary differential equation which is topologically equivalent to the sine-Gordon equation. The system is subjected to a time harmonic disturbance and the behavior of the periodic solutions is examined.
Shui-Nee Chow, Steven W. Shaw
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Dynamic analysis of a modified algae and fish model with aggregation and Allee effect
Mathematical Biosciences and Engineering, 2022 In the paper, under the stress of aggregation and reproduction mechanism of algae, we proposed a modified algae and fish model with aggregation and Allee effect, its main purpose was to further ascertain the dynamic relationship between algae and fish ...
Shengyu Huang +5 more
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Singularity bifurcations [PDF]
Journal of Macroeconomics, 2006 equation models represent an important class of macroeconomic systems. Our ongoing research (He and Barnett (2003)) on the Leeper and Sims (1994) Euler equations macroeconometric model is revealing the existence of singularity-induced bifurcations, when the model¡¯s parameters are within a confidence region about the parameter estimates. Although known
Yijun He, William Barnett
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On theoretical upper limits for valid timesteps of implicit ODE methods
AIMS Mathematics, 2019 Implicit methods for the numerical solution of initial-value problems may admit multiple solutions at any given time step. Accordingly, their nonlinear solvers may converge to any of these solutions.
Kevin R. Green +2 more
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Enhanced delay to bifurcation [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008 We present an example of slow-fast system which displays a full open set of initial data so that the corresponding orbit has the property that given any $\epsilon$ and $T$, it remains to a distance less than $\epsilon$ from a repulsive part of the fast dynamics and for a time larger than $T$. This example shows that the common representation of generic
Françoise, Jean-Pierre +2 more
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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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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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Journal of the Mathematical Society of Japan, 2019 Let f_t , where t is close to zero, be an analytic family of plane-to-plane mappings. There are presented effective methods of computing the number of cusps of f_t emanating from the origin and having positive/negative cusp degree.
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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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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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