College of Mathematics and Systems Science
Xinjiang University, Urumqi, 830046, China
email: lfnie@163.com
College of Mathematics and Systems Science
Xinjiang University, Urumqi, 830046, China
email: zhidong@xju.edu.cn
Linfei Nie, Zhidong Teng
Abstract:
In this article, a singular perturbation is introduced
to analyze the global asymptotic stability of positive equilibria
of ratio-dependent predator-prey models with stage structure for the prey.
We prove theoretical results and show numerically that the proposed approach
is feasible and efficient.
Submitted October 23, 2012. Published April 5, 2013.
Math Subject Classifications: 39A30, 34D23, 34D15.
Key Words: Singular perturbation; stage structure;ratio-dependence;
predator-prey; global asymptotically stability.
Show me the PDF file (533 KB), TEX file for this article.
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Linfei Nie College of Mathematics and Systems Science Xinjiang University, Urumqi, 830046, China email: lfnie@163.com |
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Zhidong Teng College of Mathematics and Systems Science Xinjiang University, Urumqi, 830046, China email: zhidong@xju.edu.cn |
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