Mathematical models of information dissemination in a population often use the simplifying assumption that all individuals are equally receptive to information. Simply put, if an individual has learned some rumor, then with a probability of, say, 20%, he internalizes the rumor and will relay it to other people. The present work introduces a model in which individuals differ in their receptivity. It is easy to imagine, for example, the indicated probability is 20% for half of the population, 10% for a third of the population, and 15% for the rest. This provision adjusts the model. Thus, the process in question is the spread of a message in a population with differential receptivity. This issue is addressed to clarify whether and to what extent the above simplifying assumption affects the accuracy of the model. We conducted a series of numerical experiments with a mathematical model assuming that the population is composed of three groups with different values of receptivity and a model containing a simplifying assumption for a population with the same parameters. It was found that the simplifying assumption that receptivity is the same for all individuals distorts the description of the dynamic processes of the model.