Modelling the Human Papilloma Virus Transmission in a Bisexually Active Host Community

В этой статье сформулирована математическая модель, описывающая динамику передачи вируса папилломы человека (ВПЧ) в бисексуально активном сообществе носителей. Комплексные математические методы были использованы для качественного и количественного анализа модели. Локальная и глобальная устойчивость равновесий модели была проанализирована, и показано, что если R* меньше единицы, то модель локально и глобально асимптотически устойчива в статических состояниях, свободных от ВПЧ. Также, если R* больше единицы, ВПЧ-эндемичное статическое состояние является глобально асимптотически устойчивым. Было проведено численное моделирование и представлены графические иллюстрации.

Ключевые слова

ВПЧ; базовый репродуктивный номер; локальная устойчивость; глобальная устойчивость.

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