Nonlocal pattern formation effects in evolutionary population dynamics

Orestes Tumbarell Aranda, André L.A. Penna and Fernando A. Oliveira

Physica A: Statistical Mechanics and its Applications, 2021, vol. 572, issue C

Abstract: In this work, we derive a deterministic equation for a generalized nonlocal population dynamics that depends fundamentally on two lengths parameters (α,β). We associate these parameters to the reproduction, competition, and pattern formation in bacterial dynamics. We propose that each set of parameters defines a state, and based on that, we formulate a stochastic cellular automaton for describing the evolutionary dynamics of a bacterial colony. It results in a selection of the bacteria more able to share space. In this way, we show that the evolution of the colony towards a maximum population allowed, in a given niche, defines the final pattern.

Keywords: Population dynamics; Pattern formation; Evolution (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001370

DOI: 10.1016/j.physa.2021.125865

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