The Levins ecological model which explains why, under certain conditions, large populations of organisms in a habitat can be stable even if individual subpopulations $($for example ant colonies or fungi on logs$)$ appear and die out frequently. In the Levins model, a fixed number of sites, N $,$ are available in the habitat and can be occupied by a subpopulation or empty, with the fraction of occupied sites represented by $p,$ the rate at which occupied sites send propagules to other sites in order to colonize them is represented by c $,$ and constant fraction m of subpopulations dying out. The Levins model leads to a differential equation $\frac{dp}{dt}=cp(1-p)-mp,$ where the term $cp(1-p)$ gives the rate of new colony formation and the term $-$mp represents the rate of loss by mortality. This equation is a stable equilibrium at hat$(p)=1-\frac{m}{c}$ if $)>c,$ the equation still has a stable solution equilibrium, but not a possible value for $p(t)$