Continuous and discrete models of population biology

This thesis analyzes the continuous and discrete logistic model of a single-species population. For both of these models, there are discussed problems of equilibria, their stability and behaviour of the solutions for different initial conditions. In the case of the discrete model, the periodic behaviour of solutions is discussed in detail with respect to change of a parameter characterizing growth of the investigated population. The chaotic behaviour of solutions is mentioned as well. The graphic interpretations of each of the problems are performed using the software MATLAB. The calculations are checked via the software Maple