A butterfly starts its life as a caterpillar, then transforms into a butterfly and then dies. Let...
A butterfly starts its life as a caterpillar, then transforms into a butterfly and then dies. Let x1(t), x2(), and x3(t) be the number of caterpillars, live butterflies and dead butterflies, respectively, at any given time t. Suppose that () the rate at which caterpillars are born is ri x2( (i) the rate at which caterpillars are transformed into butterflies is r2xi(t). (ii) the rate at which butterflies die is r3x2(t) Then.... (a) What is the dynamical description of this bio-system expressed as Ax?