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العنوان
On Some Stochastic Models /
المؤلف
Ali, Yousria Oma.
هيئة الاعداد
باحث / Yousria Omar Ali
مشرف / Khairia El-Said El-NadiM.EL-Shandidy
مشرف / M.EL-Shandidy
مناقش / Shaaban Ibrahim Abu Youssef
الموضوع
Stochastic Models.
تاريخ النشر
2021.
عدد الصفحات
75 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
10/4/2021
مكان الإجازة
جامعة الاسكندريه - كلية العلوم - Mathematics
الفهرس
Only 14 pages are availabe for public view

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Abstract

In this thesis, some model stochastic are considered. The stochastic processes related to these models are some different kinds of tumor cancer cells. The growth and diffusion of brain tumor cancer is also studied by using a non-linear stochastic diffusion model. The considered models are generalization of some deterministic models. In the frame of these stochastic models the growth models for tumor cells under the influence of random perturbations was studies. In general mathematical models help to predict the tumour size and optimize the treatment procedure in deteministic form, there are several models including exponential, dynamical systems, logistic, nonlinear diffusion equations that have been used to describe the behaviour of cancer cell growth amd proliferation. By using the stochastic analysis and the Adomian method more general models can be studies Keywords: Deterministic models, Stochastic dynamical systems, Stochastic diffusion processes, Ito integrals, Tumor cancer cells, Adomian method.