On the reproduction number and the optimal control of infectious diseases in a heterogenous population

Advances in Difference Equations

S. O. Salawu¹  M. O. Adeniyi²  J. A. Akinyemi²  A. U. Chukwu³ 

[1] Department of Mathematics, Landmark University, Omu-aran, Nigeria;Department of Maths/Statistics, Lagos State Polytechnic, Ikorodu, Nigeria;Department of Statistics, University of Ibadan, Ibadan, Nigeria;

关键词: Reproduction number;    Optimal control;    Heterogeneous population;    Infectious diseases;   

DOI  :  10.1186/s13662-020-03050-9

来源: Springer

【 摘 要 】

The effect of infectious diseases cannot be overemphasised. The continuing surfacing of the infectious diseases gives the stakeholders a great concern. In this paper, the nature of the spread of Ebola virus outbreak in West Africa in 2014 is studied. We develop a model that analyses the spread of infectious diseases, and the reproduction number is determined by using the next generation matrix method. Finally, the effects of treatment of the infected individuals and vaccination of the susceptible population as the control strategies are looked into. The optimal control system showed that the combination of the two strategies proved more effective.

【 授权许可】

CC BY