Mathematical models of single population

Eugeny Petrovich Kolpak, Mariia Vladimirovna Stolbovaia, Inna Sergeevna Frantsuzova

Research output

1 Citation (Scopus)

Abstract

The paper presents a mathematical model for a single population on a line represented as boundary value problem for a nonlinear differential equation in partial derivatives. The steady equation is solved by quadratures. The paper suggests an algorithm offering a numerical solution to the nonlinear boundary linear problem. It outlines the results of a study on how various parameters affect the behavior of solutions.

Original languageEnglish
Pages (from-to)3609-3619
Number of pages11
JournalGlobal Journal of Pure and Applied Mathematics
Volume12
Issue number4
Publication statusPublished - 1 Jan 2016

Fingerprint

Partial derivative
Behavior of Solutions
Quadrature
Nonlinear Differential Equations
Boundary value problems
Differential equations
Boundary Value Problem
Numerical Solution
Mathematical Model
Mathematical models
Derivatives
Line

Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Kolpak, E. P., Stolbovaia, M. V., & Frantsuzova, I. S. (2016). Mathematical models of single population. Global Journal of Pure and Applied Mathematics, 12(4), 3609-3619.
Kolpak, Eugeny Petrovich ; Stolbovaia, Mariia Vladimirovna ; Frantsuzova, Inna Sergeevna. / Mathematical models of single population. In: Global Journal of Pure and Applied Mathematics. 2016 ; Vol. 12, No. 4. pp. 3609-3619.
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Kolpak, EP, Stolbovaia, MV & Frantsuzova, IS 2016, 'Mathematical models of single population', Global Journal of Pure and Applied Mathematics, vol. 12, no. 4, pp. 3609-3619.

Mathematical models of single population. / Kolpak, Eugeny Petrovich; Stolbovaia, Mariia Vladimirovna; Frantsuzova, Inna Sergeevna.

In: Global Journal of Pure and Applied Mathematics, Vol. 12, No. 4, 01.01.2016, p. 3609-3619.

Research output

TY - JOUR

T1 - Mathematical models of single population

AU - Kolpak, Eugeny Petrovich

AU - Stolbovaia, Mariia Vladimirovna

AU - Frantsuzova, Inna Sergeevna

PY - 2016/1/1

Y1 - 2016/1/1

N2 - The paper presents a mathematical model for a single population on a line represented as boundary value problem for a nonlinear differential equation in partial derivatives. The steady equation is solved by quadratures. The paper suggests an algorithm offering a numerical solution to the nonlinear boundary linear problem. It outlines the results of a study on how various parameters affect the behavior of solutions.

AB - The paper presents a mathematical model for a single population on a line represented as boundary value problem for a nonlinear differential equation in partial derivatives. The steady equation is solved by quadratures. The paper suggests an algorithm offering a numerical solution to the nonlinear boundary linear problem. It outlines the results of a study on how various parameters affect the behavior of solutions.

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VL - 12

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JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

SN - 0973-1768

IS - 4

ER -

Kolpak EP, Stolbovaia MV, Frantsuzova IS. Mathematical models of single population. Global Journal of Pure and Applied Mathematics. 2016 Jan 1;12(4):3609-3619.