Threshold dynamics of a stochastic model of intermittent androgen deprivation therapy for prostate cancer

نویسندگان

چکیده

Intermittent androgen deprivation therapy is often used to treat prostate cancer, but there are few mathematical modelling studies of it. To explore the mechanisms such therapy, we describe intermittent with impulsive differential equations, then propose a novel model white noise. We first studied model’s basic properties including existence and uniqueness solution. By using theory stochastic investigated thresholds for extinction persistence cancer cells, which markedly affected by antigenicity tumours noise parameters. Moreover, sufficient conditions stationary distribution ergodicity system provided. The results show that reducing period pulsed interventions or increasing dosages (or frequencies) will be helpful curing cancer.

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ژورنال

عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation

سال: 2021

ISSN: ['1878-7274', '1007-5704']

DOI: https://doi.org/10.1016/j.cnsns.2021.105856