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Scientific-technical journal

Abstract

Based on the self-similar analysis of solutions, the properties of solutions of the nonlinear system of reaction-diffusion equations for one problem of a biological population of the Kolmogorov-Fisher type are investigated. Suitable initial approximations are proposed for a rapidly converging iterative process.

First Page

12

Last Page

21

References

[1]. Mari Dj. Nelineynie diffuzionnie uravneniya v biologii. M., Mir,1983, 397 str. [2]. Kolmogorov A. N., Petrovskiy I. G., Piskunov N.S. Issledovanie uravneniya diffuzii, soedinennoy s vozrastaniem kolichestva veщestva i yego primenenie k odnoy biologicheskoy probleme. Byulletenь MGU, ser. Matematika i mexanika, t. 1, 1-25 [3]. Aripov M. Metod etalonnix uravneniy dlya resheniya nelineynix kraevix zadach Tashkent, Fan, 1988, 137 s. [4]. Belotelov N.V., Lobanov A.I.Populyatsionnie modeli s nelineynoy diffuziey. // Matematicheskoe modelirovanie. –M.; 1997, №12, str. 43-56. [5]. V. Volterra. Matematicheskaya teoriya borbi za sushestvovanie -M.: Nauka, 1976, 288 s. [6]. Gauze G.F. O protsessax unichtojeniya odnogo vida drugim v populyatsiyax infuzoriy // Zoologicheskiy jurnal,1934, t.13, №1. [7]. 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. N 3. 1999. pg. 19-40 [8]. Muxamediyeva D.K. Properties of self similar solutions of reaction-diffusion systems of quasilinear equations // International Journal of Mechanical and production engineering research and development (IJMPERD) ISSN(P): 2249-6890; ISSN(E): 2249-8001 Vol. 8, Issue 2, USA. 2018, 555-565 pp. Impact Factor (JCC): 6.8765. [9]. Muhamediyeva D.K. Solving of the Task of Kolmogorov-Fisher Type Biological Population in the Regime with Aggravation // International Journal of Applied Engineering Research ISSN 0973-4562 Volume 13, Number 6 (2018) pp. 4291-4298. [10]. Muxamedieva D.K. CHislennoe reshenie sistemi uravneniy reaktsii-diffuzii s dvoynoy nelineynostyu // FarPI ilmiy-texnika jurnali. –Farg’ona.2018. №3, 127-131 betlar

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