Parametric estimation of a prey-predator model with Allee effect

We consider a predator-prey model with the Allee effect on prey and whose dynamics is described by a system of autonomous ordinary differential equations. Such a model is a convenient way to study consequences of human activities on population level processes. The method of parametric identification based on partially available information, main features of the biological system and on parameter space investigation is developed. The methodology is demonstrated on simulations and on real measurements.