Conservation Ecology: The mathematical biology of human infections: Fig. 1

Fig. 1.The basic model of virus dynamics. The abundances of uninfected cells, infected cells, and free virus are given by x, y, and v, respectively. Uninfected cells are produced at a constant rate,

. Free virus infects uninfected cells at the rate xv. Infected cells produce free virus at the rate ky. Uninfected cells, infected cells, and free virus die at the rates dx, ay, and uv, respectively. These assumptions lead to the following system of three differential equations:

(1)

(2)

(3)