Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-I: The Case in ℝn. (27th September 2009)

• Record Type: Journal Article
• Authors: Zhang, Rui; Guo, Ling; Fu, Shengmao
• Other Names: Zou Wenming Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-09-27
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/378763
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : This paper deals with a Holling type III diffusive predator-prey model with stage structure and nonlinear density restriction in the spaceℝ n . We first consider the asymptotical stability of equilibrium points for the model of ODE type. Then, the existence and uniform boundedness of global solutions and stability of the equilibrium points for the model of weakly coupled reaction-diffusion type are discussed. Finally, the global existence and the convergence of solutions for the model of cross-diffusion type are investigated when the space dimension is less than 6.