Epidemic model with vaccinated age that exhibits backward bifurcation |
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| Authors: | Junyuan Yang Fengqin Zhang Xuezhi Li |
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| Institution: | 1. Department of Mathematics, Stockholm University, Stockholm SE-106 91, Sweden;2. Laboratoire de Mathématiques et Informatique (LAMI), EDST, Université Ouaga I Pr. Joseph Ki-Zerbo03 B.P.7021 Ouagadougou 03, Burkina Faso;1. Department of Fundamental Courses, Academy of Armored Force Engineering, Beijing 100072, China;2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | Vaccination of susceptibilities is included in a transmission model for a disease that confers immunity. In this paper, interplay of vaccination strategy together with vaccine efficacy and the vaccinated age is studied. In particular, vaccine efficacy can lead to a backward bifurcation. At the same time, we also discuss an abstract formulation of the problem, and establish the well-posedness of the model. |
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