Nonlinear mathematical models

This thesis consists of six chapters. The first chapter is devoted to the introduction. In the second chapter, basic concepts have been given. First order scalar equations, bifurcation and bifurcation types are mentioned, respectively. Then, autonomous systems and the presence and absence of closed roads are discussed. In the third chapter, population models with a single species are examined. In addition, exponential model, logistic model, harvest models and generalized logistic equation are discussed. In the fourth chapter, the prey-predator population models are examined. Population problems and the continuous population model for interacting species are discussed under the title of classical prey-predator model. In addition, prey-predator models showing logistical growth and Rosenzweig-MacArthur model are mentioned. In the fifth chapter, competing species are examined. In the last chapter, epidemic models are examined.