Journal of Biological Systems
Volume 18, Issue 1, 2010, Pages 17-54

Optimal control measures for tuberculosis mathematical models including immigration and isolation of infective (Article)

Okuonghae D.* , Aihie V.U.
  • a Department of Mathematics, Faculty of Physical Sciences, University of Benin, P.M.B. 1154, Benin City, Edo State, Nigeria
  • b Department of Mathematics, Faculty of Physical Sciences, University of Benin, P.M.B. 1154, Benin City, Edo State, Nigeria

Abstract

Optimal control theory is applied to a system of ordinary differential equations modeling the population dynamics of tuberculosis with isolation and immigration of infective. Seeking to minimize the number of infectious individuals and reduce the transmission of the disease, we use controls to represent the screening/medical testing of infected immigrants into the population as well as isolation of infective in the population. The optimal controls are characterized in terms of the optimality system, which is solved numerically for several scenarios using an iterative method with Runge-Kutta fourth order scheme. Parameter values used are those reported for Nigeria. © 2010 World Scientific Publishing Company.

Author Keywords

Optimal Control tuberculosis Mathematical model isolation Immigration

Index Keywords

[No Keywords available]
Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-77951685840&doi=10.1142%2fS0218339010003160&partnerID=40&md5=4bbc548ac2447f4f772f2bb2a719cd68
DOI: 10.1142/S0218339010003160
ISSN: 02183390
Cited by: 9
Original Language: English