### 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 |
---|---|

Pages (from-to) | 3609-3619 |

Number of pages | 11 |

Journal | Global Journal of Pure and Applied Mathematics |

Volume | 12 |

Issue number | 4 |

Publication status | Published - 1 Jan 2016 |

### Fingerprint

### Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Global Journal of Pure and Applied Mathematics*,

*12*(4), 3609-3619.

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*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.

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.

KW - Boundary value problem

KW - Mathematical modeling

KW - Population

UR - http://www.scopus.com/inward/record.url?scp=84988583485&partnerID=8YFLogxK

M3 - Article

VL - 12

SP - 3609

EP - 3619

JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

SN - 0973-1768

IS - 4

ER -