Abstract
In the study of ecological sciences predator-prey models are very beneficial and they are frequently used because dynamics of animal populations can easily be observed and researchers can also predict that how they will develop over with the passage of time. The objective of this paper is to verify the existence and uniqueness of solutions of mathematical models of predator prey interactions determined in Shakil et al. [19, 20] through a quasi-chemical approach in order to study the predator prey populations and discover the tendencies visible. Each case started with a set of initial and boundary conditions that formed different consequences for the functions of the populations of predator (foxes) and prey (rabbits).