A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus | Zendy

Majda El Younoussi | Zendy; Zakaria Hajhouji | Zendy; Khalid Hattaf | Zendy; Noura Yousfi | Zendy

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A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus

Author(s) -

Majda El Younoussi,

Zakaria Hajhouji,

Khalid Hattaf,

Noura Yousfi

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/9934070

Subject(s) - oncolytic virus , uniqueness , equilibrium point , mathematics , stability (learning theory) , instability , work (physics) , computer science , differential equation , mathematical optimization , tumor cells , mathematical analysis , physics , medicine , cancer research , machine learning , mechanics , thermodynamics

The aim of this work is to propose and analyze a new mathematical model formulated by fractional differential equations (FDEs) that describes the dynamics of oncolytic M1 virotherapy. The well-posedness of the proposed model is proved through existence, uniqueness, nonnegativity, and boundedness of solutions. Furthermore, we study all equilibrium points and conditions needed for their existence. We also analyze the global stability of these equilibrium points and investigate their instability conditions. Finally, we state some numerical simulations in order to exemplify our theoretical results.

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