Existence and Stability of Solutions for a diffusive Predator-Prey Model with Predator Cannibalism
Abstract
In this paper, we consider a diffusive predator-prey modelwith predator cannibalism. Using the energy estimates andGagliardo-Nirenberg-type inequalities, the existence and uniformboundedness of global solutions for the model are proved. Meanwhile,the sufficient conditions for global asymptotic stability of thepositive equilibrium for this model aregiven by constructing a Lyapunov function.
How to Cite this Article
Yujuan Jiao, Existence and Stability of Solutions for a diffusive Predator-Prey Model with Predator Cannibalism, Commun. Math. Biol. Neurosci., 2013 (2013), Article ID 2
Copyright © 2013 Yujuan Jiao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.