A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9934070 |
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| _version_ | 1832561520960077824 |
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| author | Majda El Younoussi Zakaria Hajhouji Khalid Hattaf Noura Yousfi |
| author_facet | Majda El Younoussi Zakaria Hajhouji Khalid Hattaf Noura Yousfi |
| author_sort | Majda El Younoussi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b4fa9f1350cb4324a597a3c697602ea6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b4fa9f1350cb4324a597a3c697602ea62025-02-03T01:24:53ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99340709934070A New Fractional Model for Cancer Therapy with M1 Oncolytic VirusMajda El Younoussi0Zakaria Hajhouji1Khalid Hattaf2Noura Yousfi3Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, MoroccoThe 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.http://dx.doi.org/10.1155/2021/9934070 |
| spellingShingle | Majda El Younoussi Zakaria Hajhouji Khalid Hattaf Noura Yousfi A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus Complexity |
| title | A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus |
| title_full | A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus |
| title_fullStr | A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus |
| title_full_unstemmed | A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus |
| title_short | A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus |
| title_sort | new fractional model for cancer therapy with m1 oncolytic virus |
| url | http://dx.doi.org/10.1155/2021/9934070 |
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