Numerical Stochastic Modeling of Dynamics of Interacting Populations
Journal of Applied and Industrial Mathematics, ISSN: 1990-4797, Vol: 16, Issue: 3, Page: 524-539
2022
- 2Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations2
- Citation Indexes2
Article Description
Abstract: A continuous-discrete stochastic model of the dynamics of populations of interactingindividuals is considered. The model is interpreted as a multidimensional random process for thesizes of different populations. The model description is based on combining the Markov approachfor the influx of individuals from an exogenous source, the death of individuals due to naturalcauses, the interaction of individuals implying their simultaneous death, and transformation andgeneration of offspring in different populations and the presence of non-Markov constraints on theduration of stay of individuals in some populations. A formal probability-theoretic description ofthe model is given taking into account the current state of populations and the prehistory of theirdevelopment. The algorithm of direct statistical modeling of the dynamics of the components ofthe constructed random process is presented. Based on the algorithm, a numerical study of thestage-dependent stochastic model of the epidemic process is carried out.
Bibliographic Details
Pleiades Publishing Ltd
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