- Research Article
- Open Access
© Rui Zhang et al. 2009
- Received: 2 April 2009
- Accepted: 31 August 2009
- Published: 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.
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Equilibrium Point
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