Results 131 to 140 of about 25,515 (266)

Stability of a saddle node bifurcation under numerical approximations

open access: yesComputers & Mathematics with Applications, 2005
AbstractIn this paper, we show that the solution flows generated by a one-parameter family of ordinary differential equations are stable under their numerical approximations in a vicinity of a saddle node. Our result sharpens the one in [1] and the proof is adapted from the method of Sotomayor in [2,3].
openaire   +2 more sources

Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting

open access: yesNonlinear Analysis
This paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
doaj   +1 more source

Rigorous verification of saddle–node bifurcations in ODEs

open access: yesIndagationes Mathematicae, 2016
Abstract In this paper, we introduce a general method for the rigorous verification of saddle–node bifurcations in ordinary differential equations. The approach is constructive in the sense that we obtain precise and explicit bounds within which the saddle–node bifurcation occurs. After introducing a set of sufficient generic conditions, an algorithm
openaire   +2 more sources

Bifurcation Analysis of the Dynamics in COVID-19 Transmission through Living and Nonliving Media

open access: yesJournal of Applied Mathematics
Transmission of COVID-19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the ...
Ario Wiraya   +5 more
doaj   +1 more source

Shilnikov saddle-node bifurcation

open access: yesScholarpedia, 2008
Andrey Shilnikov, Leonid P Shilnikov
openaire   +1 more source

Regularization of the Boundary Equilibrium Bifurcation in Filippov System with Rich Discontinuity Boundaries

open access: yesAxioms
This paper studies a particular type of planar Filippov system that consists of two discontinuity boundaries separating the phase plane into three disjoint regions with different dynamics. This type of system has wide applications in various subjects. As
Nanbin Cao, Yue Zhang, Xia Liu
doaj   +1 more source

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