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Jang, Bongsoo
Computational Mathematical Science Lab (CMS Lab)
Research Interests
  • Numerical analysis, dynamics, fractional systems, data sciences

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Structural stability of coexistence in evolutionary dynamics of cyclic competition

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Title
Structural stability of coexistence in evolutionary dynamics of cyclic competition
Author
Park, JunpyoJang, Bongsoo
Issue Date
2021-04
Publisher
Elsevier BV
Citation
Applied Mathematics and Computation, v.394,, pp.125794
Abstract
One of the common assumptions in previous spatial dynamics of cyclic competition is that, regardless of competing structure and strength among species, the spatial size of a network is considered as large as possible to avoid finite size effect for species biodiversity. In real ecosystems, however, species richness, which can be defined by spatial size and competition strength, can sensitively affect species coexistence as a competition among individuals becomes complicated. In this paper, we investigate the structural stability of coexistence of mobile species in three cyclic competition games due to network complexity in which imposes a size of a square lattice and competition strength among species. By exploiting the coexistence probability, our computations quantitatively reveal that the network complexity due to changes in the competition rate and lattice size can strongly affect the structural stability of coexistence in each model. In particular, intense intraspecific competition can yield the robust coexistence at small-sized lattices regardless of mobility, and strengthening interspecific competition simultaneously induces changes in critical mobility that hampers coexistence and in spatial size for stable coexistence. Qualitatively, we find that such structural stability of coexistence relates to the degree of stability of fixed points in deterministic systems. Our finding can be useful to gain insights into species coexistence on spatially extended systems with respect to network complexity.
URI
https://scholarworks.unist.ac.kr/handle/201301/48861
URL
https://www.sciencedirect.com/science/article/abs/pii/S0096300320307475
DOI
10.1016/j.amc.2020.125794
ISSN
0096-3003
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