Sensitivity Analysis of Dengue Model with Saturated Incidence Rate - Open Access Library Journal

OALibJ > Vol.5 No.3, March 2018

Open Access Library Journal

Volume 5, Issue 3 (March 2018)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

Sensitivity Analysis of Dengue Model with Saturated Incidence Rate ()

HTML XML

Download as PDF (Size: 1788KB) PP. 1-17

DOI: 10.4236/oalib.1104413 706 Downloads 1,866 Views Citations

Author(s)

M. M. Ojo¹, B. Gbadamosi², Adebimpe Olukayode³, Ogundokun R. Oluwaseun²

Affiliation(s)

¹Department of Ecology and Evolutionary Biology, University of Kansas, Lawrence, USA.
²Department of Computer Science Landmark University, Omu-Aran, Nigeria.
³Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria.

ABSTRACT

Dengue is a flavivirus, transmitted to human through the bites of infected Aedes aegypti and A. albopictus mosquitoes. In this paper, we analyze a new system of ordinary differential equations which incorporates saturated incidence function, vector biting rate and control measures at both the aquatic and adult stages of the vector (mosquito). The stability of the system is analysed for the dengue-free equilibrium via the threshold parameter (reproduction number) which was obtained using the Next generation matrix techniques. Routh Hurwitz criterion along together with Descartes’ rule of signs change established the local asymptotically stability of the model whenever R₀＜1and unstable otherwise. Furthermore, the sensitivity analysis was carried out and the numerical simulation reveals that increasing the proportion of human antibody and putting into place a control strategy that minimize the vector biting rate are enough to reduce the infection of the disease in the population to its barest minimum.

KEYWORDS

Aedes aegypti, A. albopictus, Dengue Fever, Reproduction Number, Control Measures, Sensitivity Analysis, Aquatic Stage, Adult Stage

Share and Cite:

Ojo, M. , Gbadamosi, B. , Olukayode, A. and Oluwaseun, O. (2018) Sensitivity Analysis of Dengue Model with Saturated Incidence Rate. Open Access Library Journal, 5, 1-17. doi: 10.4236/oalib.1104413.

Cited by

[1]	The impact of COVID-19 on a Malaria dominated region: A mathematical analysis and simulations
	Alexandria Engineering Journal, 2023

[2]	Modeling, analyzing and simulating the dynamics of Lassa fever in Nigeria
	Journal of the Egyptian Mathematical Society, 2022

[3]	Modeling and optimal control of monkeypox with cost-effective strategies
	Modeling Earth Systems …, 2022

[4]	Fractional order mathematical model of monkeypox transmission dynamics
	Physica …, 2022

[5]	A mathematical model analysis of meningitis with treatment and vaccination in fractional derivatives
	International Journal of …, 2022

[6]	The Role of Isolation and Vector Control in the Prevention of Dengue: A Case Study of 2014 Dengue Outbreak in Singapore
	International Journal of Applied and …, 2021

[7]	Modeling the transmission dynamics of Lassa fever in Nigeria
	2021

[8]	Modeling the dynamics of Lassa fever in Nigeria
	2021

[9]	Mathematical modeling of malaria disease with control strategy
	2020

[10]	ANALYSIS OF TUBERCULOSIS MODEL WITH OPTIMAL AND ADAPTIVE CONTROLS
	2020

[11]	Sensitivity Analysis of Mathematical Model for Malaria Transmission with Saturated Incidence Rate
	2019

[12]	Mathematical Model for 4 Serotypes of Dengue Virus with Vaccination
	2018

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies