Hopf bifurcations in a three-species food chain system with multiple delays
Open Mathematics, 2017 This paper is concerned with a three-species Lotka-Volterra food chain system with multiple delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the stability of the positive equilibrium and ...
Xie Xiaoliang, Zhang Wen
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Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey
Journal of Biological Dynamics, 2023 In this work, we first modify a Lotka–Volterra predator–prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large ...
Zhenliang Zhu +3 more
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Preface. Bifurcations and Pattern Formation in Biological Applications [PDF]
, 2016 In the preface we present a short overview of articles included in the issue "Bifurcations and pattern formation in biological applications" of the journal Mathematical Modelling of Natural ...
A. Morozov +27 more
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Structural stability of the two-fold singularity [PDF]
, 2012 At a two-fold singularity, the velocity vector of a flow switches discontinuously across a codimension one switching manifold, between two directions that both lie tangent to the manifold. Particularly intricate dynamics arises when the local flow curves
Angulo Garcia, David +4 more
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Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type [PDF]
, 2015 This article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit.
Deng, Guifeng, Lu, Qiuying, Luo, Hua
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The jump phenomenon associated with the dynamics of the duffing equation
Physics Open, 2020 The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system.
M.P. Markakis
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Topology and Homoclinic Trajectories of Discrete Dynamical Systems [PDF]
, 2012 We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+{\infty}) and Es(-{\infty}) of ...
A. Abbondandolo +24 more
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Chaos and bifurcation in the controlled chaotic system
Open Mathematics, 2018 In this paper, chaos and bifurcation are explored for the controlled chaotic system, which is put forward based on the hybrid strategy in an unusual chaotic system.
Liu Yongjian +2 more
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A Comparison of the Trojan Y Chromosome Strategy to Harvesting Models for Eradication of Non-Native Species [PDF]
, 2019 The Trojan Y Chromosome Strategy (TYC) is a promising eradication method for biological control of non-native species. The strategy works by manipulating the sex ratio of a population through the introduction of \textit{supermales} that guarantee male ...
Hill J. E. +5 more
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Critical Transitions In a Model of a Genetic Regulatory System
, 2014 We consider a model for substrate-depletion oscillations in genetic systems, based on a stochastic differential equation with a slowly evolving external signal. We show the existence of critical transitions in the system.
Berwald, Jesse, Gidea, Marian
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