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A coupled logistic map lattice model for two competing species

Authors: Sales, J.; Travasso, R.; Buckeridge, M.; Carvalho, S. A.

Ref.: Eur. Phys. J. Plus 138, 1020 (2023)

Abstract: 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.

DOI: 10.1140/epjp/s13360-023-04643-5