Abstract
Argali is a rare species whose subspecies are in a vulnerable or endangered position. The paper analyzes the structure of the argali population, considers the logistic model as a method for studying the growth of the ungulate population, which is important for tracking the current and future situation of rare species and the effectiveness of measures taken to preserve them. Using mathematical modeling, a graph of the projected number of argali in Kazakhstan has been made to assess the state of the species population. By 2100, the number of argali is expected to increase to 161239 individuals while carrying out the necessary protective measures. The maximum number and growth limit of the population is 250670 individuals. Based on the forecast, recommendations for the conservation and restoration of the population have been formulated. In general, the measures taken to protect the species allow the population to grow without slowing down the growth rate. To accelerate population growth, it is necessary to fight poaching, protect watering holes, winter feeding, put into practice compensatory economic mechanisms to prevent the development of trophy hunting and poaching, proper veterinary care of livestock with common infestations in wild ungulates. Keywords: archar, argali, population, logistic equation, mathematical model.