Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response

Abstract In this paper, we deal with a strong coupled predator–prey model with modified Holling–Tanner functional response under homogeneous Neumann boundary conditions. We mainly discuss the following two problems: (1) stability of the positive constant solution; (2) existence and non-existence res...

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Bibliographic Details
Main Author: Rong Zeng
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1015-x
Description
Summary:Abstract In this paper, we deal with a strong coupled predator–prey model with modified Holling–Tanner functional response under homogeneous Neumann boundary conditions. We mainly discuss the following two problems: (1) stability of the positive constant solution; (2) existence and non-existence results as regards the non-constant positive solutions.
ISSN:1687-2770