Volume 31, Issue 2, July 2017, Pages 225–233
S. O. Adewale1, M. A. Omoloye2, ISAAC ADESOLA OLOPADE3, and G. A. Adeniran4
1 Department of Pure and Applied Mathematics, P.M.B. 4000, Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Oyo State, Nigeria
2 Department of Mathematics/Statistics, P.M.B. 420, Federal Polytechnic, Offa, Kwara State, Nigeria
3 Department of Mathematics and Computer Science, P.M.B. 002, Elizade University, Ilara-Mokin, Ondo State, Nigeria
4 Department of Pure and Applied Mathematics, P.M.B. 4000, Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Oyo State, Nigeria
Original language: English
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A system of differential equation approach was used to model the dynamical spread of malaria where humans and vectors interact and infect each other. Positivity of solution showed that there exists a domain where the model is epidemiologically and mathematically well-posed. The basic reproduction number R0 < 1 shows that disease can be controlled in the environment, otherwise the disease persist and become endemic whenever R0 > 1. Also, the numerical analysis performed shows that the most effective strategies for controlling malaria is to reduce the vector biting rate and increased the human treatment.
Author Keywords: Malaria, Humans, vectors, mathematical model, stability analysis, simulation study.
S. O. Adewale1, M. A. Omoloye2, ISAAC ADESOLA OLOPADE3, and G. A. Adeniran4
1 Department of Pure and Applied Mathematics, P.M.B. 4000, Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Oyo State, Nigeria
2 Department of Mathematics/Statistics, P.M.B. 420, Federal Polytechnic, Offa, Kwara State, Nigeria
3 Department of Mathematics and Computer Science, P.M.B. 002, Elizade University, Ilara-Mokin, Ondo State, Nigeria
4 Department of Pure and Applied Mathematics, P.M.B. 4000, Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Oyo State, Nigeria
Original language: English
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A system of differential equation approach was used to model the dynamical spread of malaria where humans and vectors interact and infect each other. Positivity of solution showed that there exists a domain where the model is epidemiologically and mathematically well-posed. The basic reproduction number R0 < 1 shows that disease can be controlled in the environment, otherwise the disease persist and become endemic whenever R0 > 1. Also, the numerical analysis performed shows that the most effective strategies for controlling malaria is to reduce the vector biting rate and increased the human treatment.
Author Keywords: Malaria, Humans, vectors, mathematical model, stability analysis, simulation study.
How to Cite this Article
S. O. Adewale, M. A. Omoloye, ISAAC ADESOLA OLOPADE, and G. A. Adeniran, “MATHEMATICAL ANALYSIS FOR DYNAMICAL SPREAD OF MALARIA IN THE POPULATION WITH CONTROLLING MEASURES,” International Journal of Innovation and Scientific Research, vol. 31, no. 2, pp. 225–233, July 2017.
