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dc.contributor.author
Solari, Hernan Gustavo
dc.contributor.author
Natiello, Mario A.
dc.date.available
2017-06-08T21:39:55Z
dc.date.issued
2014-02
dc.identifier.citation
Solari, Hernan Gustavo; Natiello, Mario A.; Linear Processes in Stochastic Population Dynamics: Theory and Application to Insect Development; Hindawi Publishing Corporation; The Scientific World Journal; 2014; 2-2014; 1-15; 873624
dc.identifier.issn
2356-6140
dc.identifier.uri
http://hdl.handle.net/11336/17851
dc.description.abstract
We consider stochastic population processes (Markov jump processes) that develop as a consequence of the occurrence of random events at random time intervals. The population is divided into subpopulations or compartments. The events occur at rates that depend linearly on the number of individuals in the different described compartments. The dynamics is presented in terms of Kolmogorov Forward Equation in the space of events and projected onto the space of populations when needed. The general properties of the problem are discussed. Solutions are obtained using a revised version of the Method of Characteristics. After a few examples of exact solutions we systematically develop short-time approximations to the problem. While the lowest order approximation matches the Poisson and multinomial heuristics previously proposed, higher-order approximations are completely new. Further, we analyse a model for insect development as a sequence of developmental stages regulated by rates that are linear in the implied subpopulations. Transition to the next stage competes with death at all times. The process ends at a predetermined stage, for example, pupation or adult emergence. In its simpler version all the stages are distributed with the same characteristic time.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Hindawi Publishing Corporation
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Population Dynamics
dc.subject
Stochastic
dc.subject
Events
dc.subject
Linear Rates
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Linear Processes in Stochastic Population Dynamics: Theory and Application to Insect Development
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-08T21:03:50Z
dc.journal.volume
2014
dc.journal.pagination
1-15; 873624
dc.journal.pais
Egipto
dc.journal.ciudad
El Cairo
dc.description.fil
Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.description.fil
Fil: Natiello, Mario A.. Lund University; Suecia
dc.journal.title
The Scientific World Journal
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1155/2014/873624
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/tswj/2014/873624/
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