Author/Authors :
andrawus, j federal university dutse - department of mathematics, Dutse, Nigeria , andrawus, j kebbi state university of science and technology aliero - department of mathematics, Nigeria , eguda, fy federal university dutse - department of mathematics, Dutse, Nigeria , usman, ig zamfara state college of education maru - department of mathematics, Nigeria , maiwa, si federal university birnin kebbi - department of mathematics, Kebbi, Nigeria , dibal, im federal polytechnic damaturu - department of statistics, Yobe, Nigeria , urum, tg moddibo adama university of technology yola - department of mathematics, Nigeria , anka, gh kebbi state university of science and technology aliero - department of mathematics, Nigeria , anka, gh federal university gusau - department of mathematics, Gusau, Nigeria
Abstract :
This paper presents a new mathematical model of a tuberculosis transmission dynamics incorporating first and second line treatment. We calculated a control reproduction number which plays a vital role in biomathematics. The model consists of two equilibrium points namely disease free equilibrium and endemic equilibrium point, it has been shown that the disease free equilibrium point was locally asymptotically stable if the control reproduction number is less than one and also the endemic equilibrium point was locally asymptotically stable if the control reproduction number is greater than one. Numerical simulation was carried out which supported the analytical results.
Keywords :
Mathematical Model , Biomathematics , Reproduction Number , Disease Free Equilibrium , Endemic Equilibrium Point
