Theoretical assessment of the impact of desert aerosols on the dynamical transmission of meningitidis serogroup A

作     者：A. Otimar Bah M. Lam A. Rah S. Bowong 

作者机构：Department of MathematicsFaculty of Science and Technic Universie Cheikh Anta Diopde DakarDakar-FannSenegal Department of Computer Engineering National Advanced School of Engineering Universite Cheikh Anta Diopde DakarDakar-FannSenegal Laboratory of MathematicsDepartment of Mathematics and Computer ScienceFaculty of ScienceUniversity of Douala P.O.Box 24157DoualaCameroon UMI 209 1RD and UPMC UMMISCO32 Avenue Henri Varagnat 93143 Bondy CedexFrance Project Team GRIMCAPEUniversity of Yaounde YaoundeCameroon The African Center of Excellence in Information and Communication Technologies(CETIC)National Advanced School of Engineering University of Yaounde 1YaoundeCameroon 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2019年第12卷第5期

页      面：263-299页

核心收录：

学科分类：0701[理学-数学] 070101[理学-基础数学] 

主　　题：Nonlinear dynamical systems epidemiological models serogroup A meningococcal infection stability bifurcation 

摘      要：This paper has been motivated by the following biological question: how influential me desert uerosols in the transmission of meningitidis serogroup A (MenA)? A mathematical model for the dynamical transmission of MenA is considered,with the aim of investigating the impact of desert *** analysis of the model has been performed in order to determine the impact of related parameters on meningitis *** derive the basic reproduction number *** prove that there exists a threshold parameter ζ such that when R0 ζ 1,the disease-free equilibrium is globally asymptotically stable (GAS).However,when ζ R0 1,the model exhibits the phenomenon of backward *** the endemic level,we show that the number of infectious individuals in the presence of desert aerosols is larger than the correspond-ing number without the presence of desert *** conjunction with the inequality R0^0 R0 where R0^0 is the basic reproduction number without desert aerosols,we found that the ingestion of aerosols by carriers will increase the endemic level,and the severity of the *** suggests that the control of MenA passes through a combination of a large coverage vaccination of young susceptible individuals and the production of a vaccine with a high level of efficacy as well as respecting the hygienic rules to avoid the inhalation of desert *** results are supported by numerical simulations.