2020, Vol. 5, Issue 1, Part A
Stability analysis of disease free equilibrium (DFE) state of a mathematical model of malaria disease in the presence of drug therapy and treatment
Author(s): E Azuaba, RA Azeez and RA Adewoye
Abstract: In this paper, we propose a mathematical model of malaria disease in the presence of drug therapy and treatment. We obtained the Disease Free Equilibrium (DFE) points and compute the effective reproduction number (
Reff). The local and global stability of the DFE was analyzed using the approaches of Jacobian Matrix t analysis and Lyapunov function respectively. The local and global stability is asymptotically stable if
Reff <1 and
Reff < 1, and respectively. The effective reproduction number, drug therapy and treatment were numerically simulated and the results are presented in graphical form.
Pages: 01-13 | Views: 900 | Downloads: 54Download Full Article: Click HereHow to cite this article:
E Azuaba, RA Azeez, RA Adewoye. Stability analysis of disease free equilibrium (DFE) state of a mathematical model of malaria disease in the presence of drug therapy and treatment. Int J Stat Appl Math 2020;5(1):01-13.
