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

Abstract 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 spr...

Full description

Bibliographic Details
Main Authors:	A. U. Chukwu, J. A. Akinyemi, M. O. Adeniyi, S. O. Salawu
Format:	Article
Language:	English
Published:	SpringerOpen 2020-10-01
Series:	Advances in Difference Equations
Subjects:	Reproduction number Optimal control Heterogeneous population Infectious diseases
Online Access:	http://link.springer.com/article/10.1186/s13662-020-03050-9

id	doaj-c3480fe413cb4121be231eaebd0f8276
record_format	Article
spelling	doaj-c3480fe413cb4121be231eaebd0f82762020-11-25T03:52:47ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020111410.1186/s13662-020-03050-9On the reproduction number and the optimal control of infectious diseases in a heterogenous populationA. U. Chukwu0J. A. Akinyemi1M. O. Adeniyi2S. O. Salawu3Department of Statistics, University of IbadanDepartment of Maths/Statistics, Lagos State PolytechnicDepartment of Maths/Statistics, Lagos State PolytechnicDepartment of Mathematics, Landmark UniversityAbstract 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.http://link.springer.com/article/10.1186/s13662-020-03050-9Reproduction numberOptimal controlHeterogeneous populationInfectious diseases
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. U. Chukwu J. A. Akinyemi M. O. Adeniyi S. O. Salawu
spellingShingle	A. U. Chukwu J. A. Akinyemi M. O. Adeniyi S. O. Salawu On the reproduction number and the optimal control of infectious diseases in a heterogenous population Advances in Difference Equations Reproduction number Optimal control Heterogeneous population Infectious diseases
author_facet	A. U. Chukwu J. A. Akinyemi M. O. Adeniyi S. O. Salawu
author_sort	A. U. Chukwu
title	On the reproduction number and the optimal control of infectious diseases in a heterogenous population
title_short	On the reproduction number and the optimal control of infectious diseases in a heterogenous population
title_full	On the reproduction number and the optimal control of infectious diseases in a heterogenous population
title_fullStr	On the reproduction number and the optimal control of infectious diseases in a heterogenous population
title_full_unstemmed	On the reproduction number and the optimal control of infectious diseases in a heterogenous population
title_sort	on the reproduction number and the optimal control of infectious diseases in a heterogenous population
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-10-01
description	Abstract 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.
topic	Reproduction number Optimal control Heterogeneous population Infectious diseases
url	http://link.springer.com/article/10.1186/s13662-020-03050-9
work_keys_str_mv	AT auchukwu onthereproductionnumberandtheoptimalcontrolofinfectiousdiseasesinaheterogenouspopulation AT jaakinyemi onthereproductionnumberandtheoptimalcontrolofinfectiousdiseasesinaheterogenouspopulation AT moadeniyi onthereproductionnumberandtheoptimalcontrolofinfectiousdiseasesinaheterogenouspopulation AT sosalawu onthereproductionnumberandtheoptimalcontrolofinfectiousdiseasesinaheterogenouspopulation
_version_	1724481014145744896

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

Similar Items