Pattern formation and coarsening dynamics in apparent competition models

Pattern formation and coarsening dynamics in apparent competition models. Menezes, J. & Moura, B. arXiv:2202.05293 [nlin, physics:physics, q-bio], February, 2022. arXiv: 2202.05293

Paper abstract bibtex

Apparent competition is an indirect interaction between species that share natural resources without any mutual aggression but negatively aﬀect each other if there is a common enemy. The negative results of the apparent competition are reﬂected in the species spatial segregation, which impacts the dynamics of their populations. Performing a series of stochastic simulations, we study a model where organisms of two prey species do not compete for space but share a common predator. Our outcomes elucidate the central role played by the predator in the pattern formation and coarsening dynamics in apparent competition models. Investigating the eﬀects of predator mortality on the persistence of the species, we ﬁnd a crossover between a curvature driven scaling regime and a coexistence scenario. For low predator mortality, spatial domains mainly inhabited by one type of prey arise, surrounded by interfaces that mostly contain predators. We demonstrate that the dynamics of the interface network are curvature driven whose coarsening follows a scaling law common to other nonlinear systems. The eﬀects of the apparent competition decrease for high predator mortality, allowing organisms of two prey species to share a more signiﬁcant fraction of lattice. Finally, our results reveal that predation capacity in single-prey domains inﬂuences the scaling power law that characterises the coarsening dynamics. Our ﬁndings may be helpful to biologists to understand the pattern formation and dynamics of biodiversity in systems with apparent competition.

@article{menezes_pattern_2022,
	title = {Pattern formation and coarsening dynamics in apparent competition models},
	url = {http://arxiv.org/abs/2202.05293},
	abstract = {Apparent competition is an indirect interaction between species that share natural resources without any mutual aggression but negatively aﬀect each other if there is a common enemy. The negative results of the apparent competition are reﬂected in the species spatial segregation, which impacts the dynamics of their populations. Performing a series of stochastic simulations, we study a model where organisms of two prey species do not compete for space but share a common predator. Our outcomes elucidate the central role played by the predator in the pattern formation and coarsening dynamics in apparent competition models. Investigating the eﬀects of predator mortality on the persistence of the species, we ﬁnd a crossover between a curvature driven scaling regime and a coexistence scenario. For low predator mortality, spatial domains mainly inhabited by one type of prey arise, surrounded by interfaces that mostly contain predators. We demonstrate that the dynamics of the interface network are curvature driven whose coarsening follows a scaling law common to other nonlinear systems. The eﬀects of the apparent competition decrease for high predator mortality, allowing organisms of two prey species to share a more signiﬁcant fraction of lattice. Finally, our results reveal that predation capacity in single-prey domains inﬂuences the scaling power law that characterises the coarsening dynamics. Our ﬁndings may be helpful to biologists to understand the pattern formation and dynamics of biodiversity in systems with apparent competition.},
	language = {en},
	urldate = {2022-02-15},
	journal = {arXiv:2202.05293 [nlin, physics:physics, q-bio]},
	author = {Menezes, J. and Moura, B.},
	month = feb,
	year = {2022},
	note = {arXiv: 2202.05293},
	keywords = {unread},
}

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