https://doi.org/10.1140/epjp/s13360-023-04643-5
Regular Article
A coupled logistic map lattice model for two competing species
1
Federal Institute of Minas Gerais, Campus Formiga, 35577-010, Formiga, MG, Brazil
2
Department of Physics, CFisUC, Center of Physics of the University of Coimbra, University of Coimbra, Coimbra, Portugal
3
Department of Botany, Institute of Biosciences, University of Sao Paulo, Sao Paulo, SP, Brazil
4
Institute for Advanced Study, IEA, University of Sao Paulo, Sao Paulo, SP, Brazil
d
sylvestre.carvalho@gmail.com
Received:
25
September
2023
Accepted:
29
October
2023
Published online:
16
November
2023
We investigate the dynamical complexity of alien species invasion described by coupled map lattice through analytical methods and simulations for a competing two-species model. Firstly, we drew an analogy between the results of linear stability analysis in the continuous and discrete versions of the competitive model with a linear functional response. Importantly, novel results are discovered in the discrete time model, namely (i) multistability may be achieved under weak and strong interspecific competition; and (ii) at weak reproduction rate, both species are simultaneously extinct. Secondly, the invasion spreading in a spatially explicit habitat was investigated by numerical simulation, whose results exhibit dependence of the system evolution on many features such as position, size, and form of invasion foci. Moreover, even under strong competition, the alien species can invade and coexist with the native species. Our results show that in both well-mixed and spatially explicit structures Gause’s law of competitive exclusion may fail.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
