Author/Authors :
eguda, fy federal university dutse - department of mathematics, Dutse, Nigeria , ocheme, ac federal university dutse - department of mathematics, Dutse, Nigeria , sule, mm federal university dutse - department of mathematics, Dutse, Nigeria , andrawus, j federal university dutse - department of mathematics, Dutse, Nigeria , babura, ib federal university dutse - department of mathematics, Dutse, Nigeria
Abstract :
In this paper, a nine compartmental model for malaria transmission in children was developed and a threshold parameter called control reproduction number which is known to be a vital threshold quantity in controlling the spread of malaria was derived. The model has a disease free equilibrium which is locally asymptotically stable if the control reproduction number is less than one and an endemic equilibrium point which is also locally asymptotically stable if the control reproduction number is greater than one. The model undergoes a backward bifurcation which is caused by loss of acquired immunity of recovered children and the rate at which exposed children progress to the mild stage of infection.
Keywords :
Malaria , Model , Backward Bifurcation , Local Stability
