Scaling in a continuous time model for biological aging

In this paper, we consider a generalization to the asexual version of Penna model for biological aging, where we take a continuous time limit. The gen otype associated to each individual is an interval of real numbers over whi ch Dirac delta -functions are defined, representing genetically programmed diseases to be switched on at defined ages of the individual life. We discu ss two different continuous limits for the evolution equation and two diffe rent mutation protocols, to be implemented during reproduction. Exact stati onary solutions are obtained and scaling properties are discussed.