Modeling the Dynamics of Arboviral Diseases with Vaccination Perspective

Biomath

Hamadjam Abboubakar¹  Nkague Leontine Nkamba²  Jean Claude Kamgang³  Daniel Tieudjo³  Lucas Emini⁴ 

[1] Department of computer sciences, University of Ngaoundéré;ENS--University of Yaoundé I;ENSAI-University of Ngaoundéré;Polytechnic–St. Jerome Catholic University, Douala;

关键词: Mathematical model;    Arboviral disease;    Vaccination;    Stability;    Backward bifurcation;    Sensitivity analysis;    Numerical scheme.;   

DOI  :  10.11145/j.biomath.2015.07.241

来源: DOAJ

【 摘 要 】

In this paper, we propose a model of transmission of arboviruses, which take into account a future vaccination strategy in human population. A qualitative analysis based on stability and bifurcation theory reveals that the phenomenon of backward bifurcation may occur; the stable disease-free equilibrium of the model coexists with a stable endemic equilibrium when the associated reproduction number is less than unity. We show that the backward bifurcation phenomenon is caused by the arbovirus induced mortality in humans. Using the direct Lyapunov method, we show the global stability of the trivial equilibrium. Through global sensitivity analysis, wedetermine the relative importance of model parameters for disease transmission. Simulation results using a qualitatively stable numerical scheme, are provide to illustrate the impact of vaccination strategy in human community.

【 授权许可】

Unknown