# 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 language English 3609-3619 11 Global Journal of Pure and Applied Mathematics 12 4 Published - 1 Jan 2016

### Fingerprint

Partial derivative
Behavior of Solutions
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

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T1 - Mathematical models of single population

AU - Kolpak, Eugeny Petrovich

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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JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

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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.