Predictive Estimates in Population Models with Variable Dynamics Under Uncertainties

In this paper, we investigate the predictive estimates of the model which at the initial time interval describes a slower population growth, and later turns into a model with a rapid growth of such a population. For considered problem, with unknown initial conditions and parameters of differential equations, however for a known number of persons in the population at certain moments of time, we obtain the predictive sets at a given time under certain conditions and substantiate the formulas for calculating the minimum and maximum number of persons in the population.

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Publication Details

Journal
Challenges to national defence in a contemporary geopolitical situation
Published
2024-11-07
DOI
https://doi.org/10.3849/cndcgs.2024.417
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
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article

Predictive Estimates in Population Models with Variable Dynamics Under Uncertainties

Oleksandr Nakonechnyi, Svajonė Bekešienė, О. А. Капустян, Iu. M. Shevchuk et al.
Challenges to national defence in a contemporary geopolitical situation
Mathematical and Theoretical Epidemiology and Ecology Models
article

Predictive Estimates in Population Models with Variable Dynamics Under Uncertainties

Oleksandr Nakonechnyi, Svajonė Bekešienė, О. А. Капустян, Iu. M. Shevchuk, Maria Loseva
article en

Abstract

In this paper, we investigate the predictive estimates of the model which at the initial time interval describes a slower population growth, and later turns into a model with a rapid growth of such a population. For considered problem, with unknown initial conditions and parameters of differential equations, however for a known number of persons in the population at certain moments of time, we obtain the predictive sets at a given time under certain conditions and substantiate the formulas for calculating the minimum and maximum number of persons in the population.

Challenges to national defence in a contemporary geopolitical situationVol. 1(1)
Openalex Percentile: Top 70%
Mathematical and Theoretical Epidemiology and Ecology Models
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