## Journal of Applied Mathematics

### Positive Steady States of a Strongly Coupled Predator-Prey System with Holling-($n+1$) Functional Response

#### Abstract

This paper discusses a predator-prey system with Holling-($n+1$) functional response and the fractional type nonlinear diffusion term in a bounded domain under homogeneous Neumann boundary condition. The existence and nonexistence results concerning nonconstant positive steady states of the system were obtained. In particular, we prove that the positive constant solution $\left(\stackrel{~}{u},\stackrel{~}{v}\right)$ is asymptotically stable when the parameter k satisfies some conditions.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 851028, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394807929

Digital Object Identifier
doi:10.1155/2013/851028

Mathematical Reviews number (MathSciNet)
MR3039743

Zentralblatt MATH identifier
1266.92064

#### Citation

Feng, Xiao-zhou; Wang, Zhi-guo. Positive Steady States of a Strongly Coupled Predator-Prey System with Holling-( $n+1$ ) Functional Response. J. Appl. Math. 2013 (2013), Article ID 851028, 8 pages. doi:10.1155/2013/851028. https://projecteuclid.org/euclid.jam/1394807929

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