The main subject of this paper is to show some of the mains models of population growth,also to precisely define model of current population growth, considering all of the models showed in this work. Theoretical and practical side of main 3 models will be described in sience view and in personal opinion. By biology, population is defined like group of same individuals which lives on same place, in this case we will talk about human population on planet Earth. Since it does not exist a lot of population growth models, we will study the main ones. MATLAB will provide us with better understending of the topic. First of all, some of main terms will be defined, like population, demography and similar. By studying the population itself in which there are no growth rules, it is difficult to determine the closest growth model for the entire population. Each area has its own rules of life, for example religion, laws, way of life and the like, so with that in mind, population growth varies from country to country. For example, the law may set a maximum number of children, while on the other hand some cultures are encouraged to start larger families. Different models explain different types of growth that can be easily calculated by mathematical formulas, and shown in graphs for a clearer comparison of models. Statistics should be singled out as the most faithful and fundamental science that contributes to the collection, analysis and maintenance of data. When elaborating the topic by explaining each model separately, we will list the mathematical formulas used to calculate and predict future growth. When dealing with the topic "Population", the pure opposite, "Depopulation", is an indispensable term. With regard to human migration, depopulation is an increasingly used term in less developed countries. The relationship between depopulation and population growth will be explained in more detail.