# Influence of Allee Effect on Extreme Events in Coupled Three Species Systems

@inproceedings{Sen2021InfluenceOA, title={Influence of Allee Effect on Extreme Events in Coupled Three Species Systems}, author={Deeptajyoti Sen and Sudeshna Sinha}, year={2021} }

We consider the dynamics of two coupled three-species population patches, incorporating the Allee Effect, focussing on the onset of extreme events in the coupled system. First we show that the interplay between coupling and the Allee effect may change the nature of the dynamics, with regular periodic dynamics becoming chaotic in a range of Allee parameters and coupling strengths. Further, the growth in the vegetation population displays an explosive blow-up beyond a critical value of coupling…

## References

SHOWING 1-10 OF 19 REFERENCES

Enhancement of extreme events through the Allee effect and its mitigation through noise in a three species system

- Biology, PhysicsScientific reports
- 2021

It is demonstrated that stochasticity drastically diminishes the probability of extreme events in all three populations, and suggests that noise can mitigate extreme events, and has potentially important bearing on the observability ofextreme events in naturally occurring systems.

Emergence of extreme events in networks of parametrically coupled chaotic populations.

- Medicine, MathematicsChaos
- 2019

A new mechanism in coupled chaotic systems that naturally yield extreme events in both time and space is suggested, when the range of coupling is sufficiently large and when enough neighbouring populations influence the growth rate of a population.

Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator

- Mathematics
- 2021

Complex dynamics and phase synchronization in spatially extended ecological systems

- Computer Science, MedicineNature
- 1999

This work examines the synchronization of complex population oscillations in networks of model communities and in natural systems, where phenomena such as unusual ‘4- and 10-year cycle’ of wildlife are often found.

Route to extreme events in excitable systems.

- Mathematics, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

It is found that extreme events occur in certain regions in parameter space, and the robustness of this phenomenon with respect to the system size is shown.

Extreme events in the forced Liénard system.

- Physics, MedicinePhysical review. E
- 2017

We observe extremely large amplitude intermittent spikings in a dynamical variable of a periodically forced Liénard-type oscillator and characterize them as extreme events, which are rare, but…

Extreme events in excitable systems and mechanisms of their generation.

- Computer Science, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular dynamics without the…

Extreme value distributions in chaotic dynamics

- Mathematics
- 1995

A theory of extremes is developed for chaotic dynamical systems and illustrated on representative models of fully developed chaos and intermitent chaos. The cumulative distribution and its associated…

Modeling cascading failures in the North American power grid

- Computer Science, Physics
- 2005

This model of the North American power grid using its actual topology and plausible assumptions about the load and overload of transmission substations indicates that the loss of a single substation can result in up to up to 25% loss of transmission efficiency by triggering an overload cascade in the network.

Power-law relaxation in a complex system: Omori law after a financial market crash.

- Mathematics, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

The empirical observation of a power law evolution of the number of events exceeding the selected threshold is consistent with the simultaneous occurrence of a return probability density function characterized by aPower law asymptotic behavior and a power-law relaxation decay of its typical scale.