Effect of mobility in the rock-paper-scissor dynamics with high mortality.
| Autor: | Islam S; Department of Physics, Jadavpur University, Jadavpur, Kolkata 700032, India., Mondal A; Department of Mathematics, Sidho-Kanho-Birsha University, Purulia 723104, WB, India.; Department of Mathematical Sciences, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, United Kingdom., Mobilia M; Department of Applied Mathematics, School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom., Bhattacharyya S; Department of Physics, Raja Rammohun Roy Mahavidyalaya, Radhanagar, Hooghly 712406, India., Hens C; Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India. |
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| Jazyk: | angličtina |
| Zdroj: | Physical review. E [Phys Rev E] 2022 Jan; Vol. 105 (1-1), pp. 014215. |
| DOI: | 10.1103/PhysRevE.105.014215 |
| Abstrakt: | In the evolutionary dynamics of a rock-paper-scissor 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 toward 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 two-dimensional lattice having three cyclically competing species. The spatiotemporal 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. |
| Databáze: | MEDLINE |
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