Results 81 to 90 of about 1,893 (192)
Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect
Abstract and Applied Analysis, 2014 We consider a ratio-dependent predator-prey system with a mate-finding Allee effect on prey. The stability properties of the equilibria and a complete bifurcation analysis, including the existence of a saddle-node, a Hopf bifurcation, and, a Bogdanov ...
Ruiwen Wu, Xiuxiang Liu
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Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity
, 2013 We investigate the dynamics of closed FRW universe and anisotropic Bianchi type-IX universe characterized by two scale factors in a gravity theory including a higher curvature (Gauss-Bonnet) term.
Kawai, Shinsuke, Kim, Edward J.
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Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network
Mathematical Biosciences and Engineering, 2017 There have been some results on bifurcations of codimension one (such as saddle-node, transcritical, pitchfork) and degenerate Hopf bifurcations for an enzyme-catalyzed reaction system comprising a branched network but no further discussion for bifurcations at its cusp.
Qiuyan Zhang +2 more
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Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis [PDF]
Royal Society Open Science, 2019 We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under
Anel Nurtay +4 more
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Chapman-Enskog method and synchronization of globally coupled oscillators
, 2000 The Chapman-Enskog method of kinetic theory is applied to two problems of synchronization of globally coupled phase oscillators. First, a modified Kuramoto model is obtained in the limit of small inertia from a more general model which includes ...
A. B. Poore +19 more
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Stability of non-parallel flow in a channel
Le Matematiche, 1991 This is a review of several generalizations of Hiemenz's classic solution for steady two-dimensional flow of a uniform incompressible viscous fluid near a stagnation point on a bluff body.
Philip G. Drazin
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Journal of Biological DynamicsThe fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect.
Weili Kong, Yuanfu Shao
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Multiple bifurcations of a Leslie-type predator-prey model with additional food in predators
Xi'an Gongcheng Daxue xuebaoTo investigate the impact of additional food for predators, a Leslie-Gower type predator-prey model with a Holling type Ⅲ functional response is established, assuming that the predator has multiple food sources.By applying the fundamental theorem of ...
LIU Junli, GUO Zhenghua
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Nonlinear Magnetoconvection in a Sparsely Packed Porous Medium
International Journal of Geophysics, 2011 Linear and weakly nonlinear properties of magnetoconvection in a sparsely packed porous medium are investigated. We have obtained the values of Takens-Bogdanov bifurcation points and codimension two bifurcation points by plotting graphs of neutral curves
A. Benerji Babu +2 more
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Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge
Nonlinear Analysis, 2015 A predator–prey system with nonmonotonic functional response and prey refuge is considered. We mainly obtain that the system has the bifurcations of cusp-type codimension two and three, these illustrate that the dynamic behaviors of the model with prey ...
Xia Liu, Jinling Wang
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