Positive steady states of the Holling–Tanner prey–predator model with diffusion
This paper is concerned with the Holling–Tanner prey–predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states.
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| Published in | Proceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 135; no. 1; pp. 149 - 164 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Edinburgh, UK
Royal Society of Edinburgh Scotland Foundation
01.02.2005
Cambridge University Press |
| Online Access | Get full text |
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| Abstract | This paper is concerned with the Holling–Tanner prey–predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states. |
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| AbstractList | This paper is concerned with the Holling–Tanner prey–predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states. This paper is concerned with the Holling-Tanner prey-predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states. [PUBLICATION ABSTRACT] |
| Author | Peng, Rui Wang, Mingxin |
| Author_xml | – sequence: 1 givenname: Rui surname: Peng fullname: Peng, Rui organization: Department of Mathematics, Southeast University, Nanjing 210018, People's Republic of China – sequence: 2 givenname: Mingxin surname: Wang fullname: Wang, Mingxin email: mxwang@seu.edu.cn organization: Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, People's Republic of China and Department of Mathematics, Southeast University, Nanjing 210018, People's Republic of China (mxwang@seu.edu.cn) |
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| Title | Positive steady states of the Holling–Tanner prey–predator model with diffusion |
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