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Global attractor for a three-species predator-prey model with cross-diffusion

✍ Scribed by Haojie Guo; Sining Zheng

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
130 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

This paper studies a three‐species predator‐prey model with cross‐diffusion. In a previous paper 11 of Pang and Wang, it was proved that the system admits global classical solutions if the exponents in cross diffusion term satisfy m, l ≥ 1. In the present paper, we continue considering the asymptotic behavior of the solutions, and obtain that the system possesses a global attractor in fact, if the cross diffusion exponents are even larger with m, l ≥ 2.

📜 SIMILAR VOLUMES

Existence of global solutions for a thre
Existence of global solutions for a three-species predator-prey model with cross-diffusion
✍ P. Y. H. Pang; M. X. Wang 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB 👁 1 views

## Abstract In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two‐predator‐one‐prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the exi

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A ratio-dependent predator-prey model with time lag for predator is proposed and analyzed. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence, and stability are analyzed. We note that for a ratio-dependent system local asymptotic st