A class of individual–based models

We discuss a class of mathematical models of biological systems at microscopic level — i.e. at the level of interacting individuals of a population. The class leads to partially integral stochastic semigroups — [25]. We state general conditions guaranteeing the asymptotic stability. In particular under some rather restrictive assumptions we observe that any, even non–factorized, initial probability density tends in the evolution to a factorized equilibrium probability density — [16]. We discuss possible applications of the general theory such as redistribution of individuals — [10], thermal denaturation of DNA [7], and tendon healing process — [11].