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Updated: Apr 4, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Models for Allee effect based on physical principles
Renato Vieira dos Santos1, Fabiano L Ribeiro1, Alexandre Souto Martinez2
1UFLA - Universidade Federal de Lavras, DFI - Departamento de Física, CEP: 37200-000 Lavras, Minas Gerais, Brazil.
Abstract:
We propose some models of single species with Allee effect based on physical principles. A method is used to obtain the expression for the per capita growth rate (a macroscopic information) starting from the characteristics of interactions between the individuals (a microscopic information). We assume that the agents in a model of a single species interact according to the distance between them. Moreover these agents must (i) cooperate with their nearest neighbors, (ii) compete with neighbors at an intermediate distance, and (iii) being indifferent to those who are far away. Using these assumptions and based on fundamental physical principles, we find what appears to be a new way of establishing models of single species with Allee effect.
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