Bernoulli and binomial proliferation on evolutionary graphs

Alcalde Cuesta, F. ; Guerberoff, G. ; Lozano Rojo, Á. (Universidad de Zaragoza)

Resumen: In this paper we introduce random proliferation models on graphs. We consider two types of particles: type-1/mutant/invader/red particles proliferates on a population of type-2/wild-type/resident/blue particles. Unlike the well-known Moran model on graphs –as introduced in Lieberman et al. (2005)–, type-1 particles can occupy in a single iteration several neighbouring sites previously occupied by type-2 particles. Two variants are considered, depending on the random distribution involving the proliferation mechanism: Bernoulli and binomial proliferation. By comparison with fixation probability of type-1 particles in the Moran process, critical parameters are introduced. Properties of proliferation are studied and some particular cases are analytically solved. Finally, by updating the parameters that drive the processes through a density-dependent mechanism, it is possible to capture additional relevant features as fluctuating waves of type-1 particles over long periods of time. In fact, the models can be adapted to tackle more general, complex and realistic situations. © 2021 Elsevier Ltd

Idioma: Inglés

DOI: 10.1016/j.jtbi.2021.110942

Año: 2022

Publicado en: Journal of theoretical biology 534 (2022), 110942 [19 pp.]
ISSN: 0022-5193

Factor impacto JCR: 2.0 (2022)

Categ. JCR: MATHEMATICAL & COMPUTATIONAL BIOLOGY rank: 34 / 55 = 0.618 (2022) - Q3 - T2
Categ. JCR: BIOLOGY rank: 54 / 92 = 0.587 (2022) - Q3 - T2

Factor impacto CITESCORE: 4.9 - Agricultural and Biological Sciences (Q1) - Biochemistry, Genetics and Molecular Biology (Q2) - Immunology and Microbiology (Q3) - Medicine (Q2) - Mathematics (Q1)

Factor impacto SCIMAGO: 0.566 - Agricultural and Biological Sciences (miscellaneous) (Q1) - Biochemistry, Genetics and Molecular Biology (miscellaneous) (Q2) - Statistics and Probability (Q2) - Medicine (miscellaneous) (Q2) - Modeling and Simulation (Q2) - Applied Mathematics (Q2) - Immunology and Microbiology (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-17R

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)