Математическое моделирование нелинейных эффектов в динамике взаимодействия планктонных и рыбных популяций Азовского моря

Статья посвящена исследованию нелинейных эффектов в динамике популяций промысловой рыбы пеленгас Азовского моря в малых и больших размерах с учетом эффекта Аллее, конкуренции за ресурсы, отлова, пространственного распределения биогенного вещества и детрита на основе мультивидовой модели взаимодействия планктона и рыбы. Дискретный аналог разработанной модельной задачи водной экологии, входящий в программный комплекс, рассчитывался по схемам второго порядка точности с учетом частичного заполнения вычислительных ячеек. Система сеточных уравнений большой размерности, возникающих при дискретизации, была решена на основе двухслойного метода вариационного типа ‒ метода минимальных поправок, имеющего максимальную скорость сходимости. Разработаны эффективные параллельные алгоритмы для численной реализации задачи биологической кинетики, ориентированные на графический ускоритель NVIDIA Tesla K80 с модификацией формата хранения данных. В связи с этим процессы воспроизводства популяций биогеоценоза анализировались в реальном и ускоренном времени.

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