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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
doaj +1 more source
Improved Homoclinic Predictor for Bogdanov–Takens Bifurcation [PDF]
International Journal of Bifurcation and Chaos, 2014 An improved homoclinic predictor at a generic codim 2 Bogdanov–Takens (BT) bifucation is derived. We use the classical "blow-up" technique to reduce the canonical smooth normal form near a generic BT bifurcation to a perturbed Hamiltonian system.
Kuznetsov, Yuri +3 more
openaire +2 more sources
On Uniqueness of Limit Cycles in General Bogdanov–Takens Bifurcation [PDF]
International Journal of Bifurcation and Chaos, 2018 In this paper, we present a complete study of the well-known Bogdanov–Takens bifurcation and give a rigorous proof for the uniqueness of limit cycles.
Han, Maoan, Llibre, Jaume, Yang, Junmin
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Bogdanov–Takens Bifurcation of Codimension 3 in the Gierer–Meinhardt Model
International Journal of Bifurcation and Chaos, 2023 Bifurcation of the local Gierer–Meinhardt model is analyzed in this paper. It is found that the degenerate Bogdanov–Takens bifurcation of codimension 3 exists in the model, except for the saddle-node bifurcation and the Hopf bifurcation. That was not reported in the literature about this model.
Ranchao Wu, Lingling Yang
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Bogdanov-Takens bifurcation in predator-prey systems
Discrete & Continuous Dynamical Systems - S, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeng, Bing, Deng, Shengfu, Yu, Pei
openaire +2 more sources
Diversity of cells and signals in the cardiovascular system
The Journal of Physiology, Volume 601, Issue 13, Page 2547-2592, 1 July 2023., 2023 Abstract figure legend This white paper discusses the cell diversity, co‐ordination and interaction patterns that are critical for robust cardiovascular function. We identify the major cell types and signals involved in cardiovascular function and emphasize the complexity at the subcellular, cellular and system levels that motivate both challenges and ...
Eleonora Grandi +17 more
wiley +1 more source
Complexity, Volume 2023, Issue 1, 2023., 2023 Population ecosystems can display the tipping points at which extinctions of species happens. To predict the appearance of tipping points and to understand their evolution mechanism are of uttermost importance for ecological balance. Using techniques from bifurcation theory, we can predict the emergence of tipping points based on a spatiotemporal ...
Min Xiao +5 more
wiley +1 more source
Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
doaj +1 more source
Palaeontology, Volume 65, Issue 3, May/June 2022., 2022 Abstract Bite traces on fossil bones are key to deciphering feeding ecology and trophic interactions of vertebrate past ecosystems. However, similarities between traces produced by different carnivorous taxa with similar dentitions, and misidentifications due to equifinality, hinder confident identifications of the bite makers.
Eudald Mujal +5 more
wiley +1 more source
Chaos in the Takens-Bogdanov bifurcation with O(2) symmetry [PDF]
, 2016 The Takens–Bogdanov bifurcation is a codimension two bifurcation that provides a key to the presence of complex dynamics in many systems of physical interest. When the system is translation invariant in one spatial dimension with no left-right preference
A. M. Rucklidge +8 more
core +2 more sources