Global properties of a discrete viral infection model with general incidence rate |
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Authors: | Khalid Hattaf Noura Yousfi |
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Institution: | 1. Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Derb Ghalef, Casablanca, Morocco;2. Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, CasablancaMorocco |
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Abstract: | In this paper, we propose a discrete viral infection model with a general incidence rate. The discrete model is derived from a continuous case by using a 'mixed' Euler method, which is a mixture of both forward and backward Euler methods. We prove that the mixed Euler method preserves the qualitative properties of the corresponding continuous system, such as positivity, boundedness, and global behaviors of solutions. Furthermore, the model and mathematical results presented in another previous study are extended and generalized. Copyright © 2015 John Wiley & Sons, Ltd. |
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Keywords: | difference equation general incidence rate ‘ mixed’ Euler method global stability |
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