Tag Archives: Lyapunovfunction

Stability Analysis of Predator-Prey Model with Stage Structure for the Prey: A Review (Published)

In this paper, a food web model consisting of two predator-one stage structured prey involving Lotka-Voltera type of functional response is proposed and analyzed. It is assumed that the prey growth logistically in the absence of predator. The existence, uniqueness and boundedness of the solution are studied. The existence 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.

Keywords: Food Web, Lyapunovfunction, Stability analysis, Stage-Structure.