# Extreme events in population dynamics with functional carrying capacity

@article{Yukalov2012ExtremeEI, title={Extreme events in population dynamics with functional carrying capacity}, author={Vyacheslav I. Yukalov and E. P. Yukalova and Didier Sornette}, journal={The European Physical Journal Special Topics}, year={2012}, volume={205}, pages={313-354} }

A class of models is introduced describing the evolution of population species whose carrying capacities are functionals of these populations. The functional dependence of the carrying capacities reflects the fact that the correlations between populations can be realized not merely through direct interactions, as in the usual predator-prey Lotka-Volterra model, but also through the influence of species on the carrying capacities of each other. This includes the self-influence of each kind of…

## 17 Citations

Population Dynamics with Nonlinear Delayed Carrying Capacity

- MathematicsInt. J. Bifurc. Chaos
- 2014

This work generalizes an exhaustive classification of the logistic equation where the carrying capacity is linearly dependent on the population with a time delay to the case of a nonlinear delayed carrying capacity, which changes the behavior of solutions to the evolution equation.

Utility Rate Equations of Group Population Dynamics in Biological and Social Systems

- EconomicsPloS one
- 2013

It is found that, in a self-organized society, neither defectors nor regulators can overpass the maximal fractions of about each and, in agreement with the data for bee and ant colonies, the classification of societies by their distance from equilibrium is proposed.

New Approach to Modeling Symbiosis in Biological and Social Systems

- BiologyInt. J. Bifurc. Chaos
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A novel approach to treating symbiotic relations between biological species or social entities through their mutual influence on their respective carrying capacities is suggested, taking into account that this influence can be quite strong and requires a nonlinear functional framework.

Dynamic Transition in Symbiotic Evolution Induced by Growth Rate Variation

- EconomicsInt. J. Bifurc. Chaos
- 2017

It is shown that, although the stationary states of the dynamical system do not depend on the growth rates, the latter influence the boundary of the basins of attraction, which explains this unusual effect of the qualitative change of dynamics by growth rate variation.

Emergence and mitigation of extreme events in a parametrically driven system with velocity-dependent potential

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In this paper, we discuss the emergence of extreme events in a parametrically driven non-polynomial mechanical system with a velocity-dependent potential. We confirm the occurrence of extreme events…

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- 2015

We propose a reduced form set of two coupled continuous time equations linking the price of a representative asset and the price of a bond, the later quantifying the cost of borrowing. The feedbacks…

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- Environmental Science
- 2014

We analyze the growth rates of human population and of atmospheric carbon dioxide by comparing the relative merits of two benchmark models, the exponential law and the finite-time-singular (FTS)…

Simulations of the Population Dynamics of Jellyfish Polyps Living on Artificial Substrates in Coastal Areas

- Environmental ScienceThalassas: An International Journal of Marine Sciences
- 2016

Simulation results indicated that limiting jellyfish blooms in coastal areas is only possible if the amount of artificial substrate is reduced or removed, and the delayed effects of different survivorship conditions generated oscillations in polyp populations.

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- EconomicsClimatic Change
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This study identifies historical extreme events and analyzes their impacts on social vulnerability, stability, and resilience in ancient China. We reconstructed extreme event sequences, simulated…

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