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Cross-diffusional models of convective transfer with dual nonlinearity

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Hisoblash va amaliy matematika muammolari

Hisoblash va amaliy matematika muammolari

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ARTICLE ANNOTATION

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In the present work are examined the issues of global solvability of the Kolmogorov-Fisher type biological population task and qualitative properties of the solution of the task based on the self-similar analysis. Considered parabolic system of two quasilinear equations of reaction-diffusion which describes the process of Kolmogorov-Fisher type biological population in a nonlinear two-component environment. Investigated qualitative properties of the considered problem by constructing self-similar system of equations. By the method of nonlinear splitting was built self-similar system of equations.

AUTHORS

M.Aripov

O'zbekiston Milliy universitet

D.Muxamediyeva

Toshkent axborot texnologiyalari universiteti

Tags

# численное решение# кросс-диффузия# биологическая популяция# параболическая система квазилине# начальное приближение# итерационный процесс# автомодельные решения# cross-diffusion# biological population# parabolic system of quasi-linear# initial approximation# numerical solution# iterative process# self-similar solutions# kross-diffuziya# biologik populyatsiya# kvazichiziqli tеnglamalarning pa# boshlang’ich yaqinlashish# itеratsiya jarayoni# avtomodеl yechim

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Article Identifiers

ROI:

https://eroi.uz/11.0007/A1119-0003

DOI:

Not Available

References

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Вольтерра В. Математическая теория борьбы за существование. – М.: Наука – 1976. – 288 с

Гаузе Г.Ф. О процессах уничтожения одного вида другим в популяциях инфузорий // Зоологический журнал. – Москва – 1934. – Т. 13.– № 1.

Aripov M., Muhammadiev J. Asymptotic behaviour of automodel solutions for one system of quasilinear equations of parabolic type // Buletin Stiintific-Universitatea din Pitesti. Seria Matematica si Informatica. – 1999. – № 3. – Рр. 19-40

Aripov M.M., Muhamediyeva D.K. To the numerical modeling of self-similar solutions of reaction-diffusion system of the one task of biological population of Kolmogorov-Fisher type // International Journal of Engineering and Technology. – 2013. – Vol. 02. – №11