Dildora Mukhamedieva

Chislennoe Modelirovanie Zadach Biologicheskoy Populyatsii: Chislennye Metody I Skhemy Resheniya Zadach Biologicheskoy Populyatsii Tipa Kolmogorova-fishera Dildora Mukhamedieva Russian edition

V nastoyashchee vremya issledovaniya lineynykh matematicheskikh modeley fizicheskikh, biologicheskikh, khimicheskikh i drugikh protsessov yavlyayutsya udobnymi, tak kak dlya lezhashchikh v ikh osnove lineynykh differentsial'nykh uravneniy v chastnykh proizvodnykh razrabotany obshchie metody ikh resheniya. V prikladnykh zhe zadachakh real'nye fizicheskie protsessy yavlyayutsya nelineynymi,i dlya ikh adekvatnogo opisaniya sleduet ispol'zovat' nelineynye matematicheskie modeli. V nastoyashchey rabote izuchaetsya svoystva resheniy nachal'noy zadachi, kotoraya yavlyaetsya nedostatochno izuchennym i poetomu interesno prosledit' za evolyutsiey protsessa reaktsii s diffuziey. V dannoy monografii izlozheny osnovnye rezul'taty chislennykh i analiticheskikh issledovaniy nelineynykh matematicheskikh modeley, opisyvayushchikh protsessov populyatsii v odnorodnoy i neodnorodnoy srede, s nelineynoy diffuziey kvazilineynymi parabolicheskimi uravneniyami.