Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in
1 Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
2 Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China
Boundary Value Problems 2009, 2009:654539 doi:10.1155/2009/654539Published: 8 December 2009
A Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions to the model are dicussed. In addition, global asymptotic stability of the positive equilibrium point for the model is proved by Lyapunov function.