Optimal Control of an Epidemic Model of Leptospirosis with Nonlinear Saturated Incidences
Syed Farasat Sadiq, Muhammad Altaf Khan, Saeed Islam, Gul Zaman, II Hyo Jung, Sher Afzal Khan
Annual Research & Review in Biology · pp. 560–576 · Published 7 Nov 2013
10.9734/ARRB/2014/6378Abstract
In this paper, we consider a leptospirosis epidemic model with non-linear saturated incidence by applying the optimal control techniques to eradicate the infection in the human population. Leptospirosis is the disease which effects human as well as Cattle. Our aim is to find such optimal control techniques for the eradication of leptospira in the host population. To do this, we define three control variables, one for human and the second and third one for Vector population. First we find the existence of the control problem and then we characterize the optimal control problem by using the well-known method of Pontryagin’s Maximum Principle. The numerical simulations of both the system are solving by using backward Runge-kutta order four schemes. Finally, the numerical results of both the systems are presented for comparison.
Cited by 33
M. Khan, Y. Khan, S. Islam · 2018
M. Khan, Rizwan Khan, Y. Khan · 2018
Jairos Kahuru, L. Luboobi, Y. Nkansah-Gyekye · International Journal of Mathematics and Mathematical Sciences · 2017
M. Khan, Kawsar Ali, E. Bonyah · Scientific Reports · 2017
M. Khan, Syed Farasat Saddiq, S. Islam · 2016
A. Barrea, Matias E. Hernández · 2016
M. E. Hernández · Revista de Educação Matemática · 2014
Saif Ullah, M. Khan · Studies in Systems, Decision and Control · 2019
C. E. Madubueze, A. Kimbir, T. Aboiyar · 2018
A. Prajapati, B. Mishra · 2015
Related research
- Ecological Studies and Epidemiological Aspects of Leptospirosis in the Northeast Region of Brazil — shares topic coverage
- Leptospirosis; Diagnosis, Treatment and Prevention: A Review — shares topic coverage
- Modeling and Optimal Control of Plasmodium Knowlesi Malaria Spread from Infected Humans to Mosquitoes — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
33
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.