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Linear Processes in Stochastic Population Dynamics: Theory and Application to Insect Development
Joint Authors
Solari, Hernán G.
Natiello, Mario A.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-17
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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 E 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.
American Psychological Association (APA)
Solari, Hernán G.& Natiello, Mario A.. 2014. Linear Processes in Stochastic Population Dynamics: Theory and Application to Insect Development. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1051433
Modern Language Association (MLA)
Solari, Hernán G.& Natiello, Mario A.. Linear Processes in Stochastic Population Dynamics: Theory and Application to Insect Development. The Scientific World Journal No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1051433
American Medical Association (AMA)
Solari, Hernán G.& Natiello, Mario A.. Linear Processes in Stochastic Population Dynamics: Theory and Application to Insect Development. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1051433
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051433