Запропонованi та обґрунтованi рiзницевi схеми для числового моделювання початкових задач для диференцiальних рiвнянь iз запiзненням. Розроблено веб-додаток для автоматизацiї моделювання, за наведеними в роботi алгоритмами, динамiчних SIR моделей iз запiзненням, що описують Covid-19 пандемiю. Проведенi числовi експерименти для модельних тестових прикладiв.

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