Existence and Stability of Solutions for a diffusive Predator-Prey Model with Predator Cannibalism

Yujuan Jiao

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.


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Published: 2013-07-01

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.

Commun. Math. Biol. Neurosci.

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