Downloads: 140
Research Paper | Mathematics | Nigeria | Volume 7 Issue 3, March 2018
The Mathematical Analysis of Malaria Transmission: The effect of Sanitation
OLUYO Temitayo Olabisi, ADENIYI Michael Olaniyi
Abstract: A deterministic mathematical model for malaria is considered under different level of sanitation strategy. The malaria disease free equilibrium point is locally asymptotically stable when the reproduction number is less than unity and unstable when reproduction number is greater than unity. The Comparison theorem is used to establish the global stability of the disease free equilibrium. A bifurcation analysis of the model was performed by applying the Centre manifold theory. Sensitivity indices of the basic reproductive number R_m to the parameters in the model was calculated. The study reveals that increase in sanitation level results in decrease in number of mosquito bites and transmission rate of malaria. To illustrate the analytical results, numerical simulations using a set parameter values were provided.
Keywords: Sanitation, Malaria, Mass action Incidence, Bifurcation, Reproduction number
Edition: Volume 7 Issue 3, March 2018,
Pages: 236 - 244
How to Cite this Article?
OLUYO Temitayo Olabisi, ADENIYI Michael Olaniyi, "The Mathematical Analysis of Malaria Transmission: The effect of Sanitation", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=ART20172710, Volume 7 Issue 3, March 2018, 236 - 244
How to Share this Article?
Similar Articles with Keyword 'Malaria'
Downloads: 3 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper, Mathematics, Ghana, Volume 10 Issue 7, July 2021
Pages: 1349 - 1358Modelling the Dynamics and Transmission of Dengue Fever by the Vector, Mosquito Aedes aegypti in Tropical Africa Region
Christiana C. Nyarko, Peter K. Nyarko, Albert Buabeng, Monica V. Crankson
Downloads: 139
Research Paper, Mathematics, Morocco, Volume 4 Issue 3, March 2015
Pages: 398 - 404Optimal Control Strategy for a Discrete Chikungunya Model
M. Alkama, M. Rachik, A. Bennar
Similar Articles with Keyword 'Bifurcation'
Downloads: 103
Research Paper, Mathematics, India, Volume 4 Issue 8, August 2015
Pages: 1850 - 1853HOPF Bifurcation Analysis of a Food Web Consisting of Two Logistic Prey and a Harvesting Predator with Modified Leslie- Gower scheme
Brahampal Singh
Downloads: 113
Research Paper, Mathematics, India, Volume 5 Issue 10, October 2016
Pages: 1533 - 1537A Food Chain Model with Strong Allee Effect in Prey
Nijamuddin Ali
Similar Articles with Keyword 'Reproduction number'
Downloads: 34
Research Paper, Mathematics, Nigeria, Volume 10 Issue 3, March 2021
Pages: 1752 - 1758Stability Analysis of Hyperbolic Equilibria of the SEIR Model for COVID-19 Transmission
Uduak A. Edet
Downloads: 128
Research Paper, Mathematics, Nigeria, Volume 2 Issue 1, January 2013
Pages: 643 - 647The Stability Analysis of the Mathematical Model of Tuberculosis Transmission Dynamics
Godswill U. Achi, Okafor, J.U, Kenneth Chimereucheya