Models for Allee effect based on physical principles

Journal of Theoretical Biology
Renato Vieira Dos SantosAlexandre Souto Martinez

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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Citations

May 17, 2017·Physical Review. E·Fabiano L RibeiroAngélica S Mata
Apr 14, 2017·Royal Society Open Science·Fabiano L RibeiroCamilo Rodrigues Neto
Nov 5, 2019·Scientific Reports·Gilberto M Nakamura, Alexandre S Martinez
Jul 25, 2019·Physical Review. E·V DornelasC Anteneodo

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