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Numerical Study of One Prey-Two Predator Model Considering Food Addition and Anti-Predator Defense [PDF]
This article examines the interaction between prey populations, juvenile predators, and adult predators. A mathematical model that considers adding food and anti-predators was developed.
Savitri Dian
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Emergent robust oscillatory dynamics in the interlocked feedback-feedforward loops. [PDF]
This work relates the network structure to dynamics to oscillatory function. The addition of an edge to a negative feedback network leads to an emergent structure with emergent dynamics that leads to a robust fine‐tuning of amplitude and frequency. Abstract One of the challenges that beset modelling complex biological networks is to relate networks to ...
Harika GL, Sriram K.
europepmc +2 more sources
Excitability in the vicinity of a saddle-node bifurcation: a mechanism for reversals
We present a new mechanism for oscillatory or random reversals of the magnetic field that occur from a stationary dynamo state. The basic ingredient is the existence of two nearly critical dynamo eigenmodes, a stable and an unstable one, that collide during a saddle-node bifurcation.
François Pétrélis, S. Fauve
openalex +4 more sources
On generation of a limit cycle from a separatrix loop of a sewn saddle-node [PDF]
The article considers dynamical systems on the plane, defined by continuous piecewise smooth vector fields. Such systems are used as mathematical models of real processes with switching.
Roitenberg, Vladimir Shleymovich
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Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect.
Huanyi Liu+5 more
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Are physiological oscillations physiological?
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
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
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The bifurcation of constrained optimization optimal solutions and its applications
The appearance and disappearance of the optimal solution for the change of system parameters in optimization theory is a fundamental problem. This paper aims to address this issue by transforming the solutions of a constrained optimization problem into ...
Tengmu Li, Zhiyuan Wang
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Dynamic behaviors of a Leslie-Gower model with strong Allee effect and fear effect in prey
We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities.
Zhenliang Zhu+3 more
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