Models for Allee effect based on physical principles.
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.
UFLA - Universidade Federal de Lavras, DFI - Departamento de Física, CEP: 37200-000 Lavras, Minas Gerais, Brazil. Electronic address: renato.santos@dfi.ufla.br.
Renato Vieira
RV
dos Santos
UFLA - Universidade Federal de Lavras, DFI - Departamento de Física, CEP: 37200-000 Lavras, Minas Gerais, Brazil. Electronic address: fribeiro@dfi.ufla.br.
Fabiano L
FL
Ribeiro
USP - Universidade de São Paulo, FFCLRP - Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Departamento de Física e Matemática, Av Bandeirantes 3900, CEP: 14040-901 Ribeirão Preto, São Paulo, Brazil. Electronic address: asmartinez@usp.br.
Alexandre Souto
AS
Martinez
D000818:Animals; D001522:Behavior, Animal; D003163:Competitive Behavior; D003299:Cooperative Behavior; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics
Mechanistic models; Population dynamics