| 1 | Theoretical assessment of the impact of environmental contamination on the dynamical transmission of polio显示文摘A mathematical model for the dynamical transmission of polio is considered,with the aim of investigating the impact of environment contamination.The model captures two infection pathways through both direct human-to-human transmission and indirect human-to-environment-to-human transmission by incorporating the environment as a transition and/or reservoir of viruses.We derive the basic reproduction number R0^env We show that the disease free equilibrium is globally asymptotically stable(GAS)if R0^env<1,while if R0^env>1,there exists a unique endemic equilibrium which is locally asymptotically stable(LAS).Similar results hold for environmental contamination free sub-model(without the incorporation of the indirect transmission).At the endemic level,we show that the number of infected individuals for the model with the environ mental-related contagion is greater than the corresponding number for the environmental contamination free sub-model.In conjunction with the inequality R0 | C.Balde M.Lam A.Bah S.Bowong J.J.Tewa | 2019 | International Journal of Biomathematics2019，12，2： | 0 |
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