The Dynamics Of Four-species

The objective of this book is to study the dynamical behavior of four species syn-ecological models.In the this model Lotka-Volterra functional response is used to describe the predation process of the general predator. For the model, the existence, uniqueness and boundedness of the solution are discussed. The existences and the stability analysis of all possible equilibrium points are studied. Suitable Lyapunov functions are used to study the global dynamics of the proposed model. Numerical simulation are also carried out to investigate the influence of parameters on the dynamical behavior of the models and to support the obtained analytical results of the model.