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Second, we simulate the obtained analytical results using a new deep learning method that associates the ordinary differential equations governing the model to neural networks. A general disease-free equilibrium is considered and sufficient conditions of stability and convergence are formulated. A detailed description of the neural network model used in the simulation is provided. Moreover, the proposed deep learning simulation algorithm is compared to the simulation provided by \u201codeint\u201d, a function from \u201cSciPy\u201d which is a Python library of mathematical routines. <\/jats:p>","DOI":"10.1142\/s1793962323500290","type":"journal-article","created":{"date-parts":[[2022,7,26]],"date-time":"2022-07-26T09:07:00Z","timestamp":1658826420000},"source":"Crossref","is-referenced-by-count":3,"title":["A two-group epidemiological model: Stability analysis and numerical simulation using neural networks"],"prefix":"10.1142","volume":"14","author":[{"given":"Mohamed Anass","family":"El Yamani","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, ERMIA Team, ENSA of Tangier Abdelmalek Essaadi University, Morocco"}]},{"given":"Jaafar","family":"El Karkri","sequence":"additional","affiliation":[{"name":"Department of Modeling and Computer Science, LERMA Laboratory, Mohammadia School of Engineering, Mohammed V University in Rabat, Morocco"}]},{"given":"Saiida","family":"Lazaar","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, ERMIA Team, ENSA of Tangier Abdelmalek Essaadi University, Morocco"}]},{"given":"Rajae","family":"Aboulaich","sequence":"additional","affiliation":[{"name":"Department of Modeling and Computer Science, LERMA Laboratory, Mohammadia School of Engineering, Mohammed V University in Rabat, Morocco"}]}],"member":"219","published-online":{"date-parts":[[2022,8,29]]},"reference":[{"key":"S1793962323500290BIB001","series-title":"Mathematics of Planet Earth","volume-title":"An Introduction to Mathematical Modeling of Infectious Diseases","volume":"2","author":"Li Michael Y.","year":"2018"},{"key":"S1793962323500290BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/6799"},{"key":"S1793962323500290BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0025-5564(02)00108-6"},{"key":"S1793962323500290BIB004","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2006.0112"},{"key":"S1793962323500290BIB005","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2007.4.159"},{"key":"S1793962323500290BIB006","volume-title":"Simulation of Dynamic Systems with MATLAB and Simulink","author":"Klee H.","year":"2011"},{"key":"S1793962323500290BIB007","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/6626.001.0001"},{"key":"S1793962323500290BIB008","volume-title":"Artificial Intelligence: An Illustrated History","author":"Pickover C. 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