Author, as appears in the article.: Esipov, Sergei; Saluena, Clara;

Department: Enginyeria Mecànica

URV's Author/s: Salueña Pérez, Clara

Keywords: Propagation Population-model Growth Fluctuations Colonies

Abstract: A model of physiological age, accompanied by nonlinear diffusion in space, is studied analytically and numerically, and is shown to develop nonstationary traveling population waves. A window of intermediate growth rates is found where collective supercycles are formed from individual (stochastic) life cycles. Supercycle periods can be considerably different (larger or smaller) than the average longevities of contributing individuals, while the time-averaged spatial expansion rate has a local maximum in the supercycling mode. A method of adiabatic similarity solutions is used to derive dependencies of the solution parameters on source and sink inhomogeneities, and obtain closed coupled dynamic equations for the age structure and leading and trailing fronts. Analytical results are compared with numerically computed similarity and full solutions for several types of population waves. We discuss possible model applications to development of lichen thallus, multiyear patterns of agricultural crop yields, and autocorrelation of locust swarming.

Thematic Areas: Zootecnia / recursos pesqueiros Statistics and probability Statistical and nonlinear physics Saúde coletiva Química Physics, mathematical Physics, fluids & plasmas Odontología Medicina ii Medicina i Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General medicine Farmacia Engenharias iv Engenharias iii Engenharias ii Educação física Educação Economia Condensed matter physics Ciências biológicas ii Ciências biológicas i Ciências ambientais Ciências agrárias i Ciência da computação Biotecnología Biodiversidade Astronomia / física

licence for use: https://creativecommons.org/licenses/by/3.0/es/

Author's mail: clara.saluena@urv.cat

Author identifier: 0000-0001-7595-8588

Record's date: 2023-02-19

Papper version: info:eu-repo/semantics/acceptedVersion

Link to the original source: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.032412

Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/

Papper original source: Physical Review e. 101 (3):

APA: Esipov, Sergei; Saluena, Clara; (2020). Synchronization of life cycles by collective transport and emergence of supercycles. Physical Review e, 101(3), -. DOI: 10.1103/PhysRevE.101.032412

Article's DOI: 10.1103/PhysRevE.101.032412

Entity: Universitat Rovira i Virgili

Journal publication year: 2020

Publication Type: Journal Publications