Mobility driven coexistence of living organisms

Oliveira, B. F. de; Moraes, M. V.; Bazeia, D.; Szolnoki, Attila

doi:10.1016/j.physa.2021.125854

Cited by 7 publications

(4 citation statements)

References 26 publications

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“…We would like to explore this feature in presence of natural death and mobility. Also, de Oliveira et al [49] have checked the effect of mobility in a lattice of living organisms [50]. Instead of global restrictions on reproduction and movement, these authors considered local restrictions and showed that these were able to generate multicluster states.…”

Section: Discussionmentioning

confidence: 99%

Effect of mobility in the rock-paper-scissor dynamics with high mortality

et al. 2022

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In the evolutionary dynamics of a rock-paper-scissor (RPS) model, the effect of natural death plays a major role in determining the fate of the system. Coexistence, being an unstable fixed point of the model becomes very sensitive towards this parameter. In order to study the effect of mobility in such a system which has explicit dependence on mortality, we perform Monte Carlo simulation on a 2-dimensional lattice having three cyclically-competing species. The spatio-temporal dynamics has been studied along with the two-site correlation function. Spatial distribution exhibits emergence of spiral patterns in the presence of mobility. It reveals that the joint effect of death rate and mobility (diffusion) leads to new coexistence and extinction scenarios.

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Section: Discussionmentioning

confidence: 99%

Effect of mobility in the rock-paper-scissor dynamics with high mortality

et al. 2022

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“…The finite range character of the competition process is a relevant feature of the model that can lead to pattern formation also in the presence of advection [38,43]. In general, any finite-range interaction in some ongoing (e.g.…”

Section: Introductionmentioning

confidence: 99%

Influence of invasion on natural selection in dispersal-structured populations

Maeso¹,

Patriarca²,

Heinsalu³

2022

Physica A: Statistical Mechanics and its Applications

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“…Topological defects have played an essential role over the last decades to describe phase transitions in cosmology [1,2], superconductivity in modern condensed matter [3], protein folding [4,5], cluster of living species [6,7] and molecular systems [8,9], just to quote a few application areas. Kinks are the simplest form of a topological defect solution in (1 + 1)-dimensions and they naturally arise in a variety of scalar field models, all of them sharing the essential feature of living in non-linear scenarios [10,11].…”

Section: Introductionmentioning

confidence: 99%

Wobbling kinks in a two-component scalar field theory: Interaction between shape modes

Alonso-Izquierdo¹,

Miguélez-Caballero²,

Nieto³

et al. 2022

Preprint

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In this paper the interaction between the shape modes of the wobbling kinks arising in the family of two-component MSTB scalar field theory models is studied. The spectrum of the second order small kink fluctuation in this model has two localized vibrational modes associated to longitudinal and orthogonal fluctuations with respect to the kink orbit. It has been found that the excitation of the orthogonal shape mode immediately triggers the longitudinal one. In the first component channel the kink emits radiation with twice the orthogonal wobbling frequency (not the longitudinal one as happens in the φ 4 -model). The radiation emitted in the second component has two dominant frequencies: one is three times the frequency of the orthogonal wobbling mode and the other is the sum of the frequencies of the longitudinal and orthogonal vibration modes. This feature is explained analytically using perturbation expansion theories.

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Mobility driven coexistence of living organisms

Cited by 7 publications

References 26 publications

Effect of mobility in the rock-paper-scissor dynamics with high mortality

Effect of mobility in the rock-paper-scissor dynamics with high mortality

Influence of invasion on natural selection in dispersal-structured populations

Wobbling kinks in a two-component scalar field theory: Interaction between shape modes

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