Persistence of Altruistic Community under Indiscriminate Altruism

The evolution of indiscriminate altruism in animal populations is examined using coupled Von Foerster equations. Analytic expression for the gene frequency of altruists is derived. We also obtain formulas for the numbers of the altruistic and nonaltruistic groups at each generation in terms of the age-dependent ratio of altruists in the population during each geneiation, fn(a). We then use our results to demonstrate the distinction between the evolution of altruism and the survival of an altruistic society, and our discussion is then illustrated with simulated examples