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

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:
Cross-diffusion
Stability
Positive solutions
Online Access:http://link.springer.com/article/10.1186/s13661-018-1015-x
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spelling doaj-9b2d985c0897475c88fc213e171669c62020-11-24T20:59:02ZengSpringerOpenBoundary Value Problems1687-27702018-06-012018112110.1186/s13661-018-1015-xQualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional responseRong Zeng0College of Economic Mathematics, Southwestern University of Finance and EconomicsAbstract 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.http://link.springer.com/article/10.1186/s13661-018-1015-xCross-diffusionStabilityPositive solutions
collection DOAJ
language English
format Article
sources DOAJ
author Rong Zeng
spellingShingle Rong Zeng
Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response
Boundary Value Problems
Cross-diffusion
Stability
Positive solutions
author_facet Rong Zeng
author_sort Rong Zeng
title Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response
title_short Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response
title_full Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response
title_fullStr Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response
title_full_unstemmed Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response
title_sort qualitative analysis of a strongly coupled predator–prey system with modified holling–tanner functional response
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2018-06-01
description 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.
topic Cross-diffusion
Stability
Positive solutions
url http://link.springer.com/article/10.1186/s13661-018-1015-x
work_keys_str_mv AT rongzeng qualitativeanalysisofastronglycoupledpredatorpreysystemwithmodifiedhollingtannerfunctionalresponse
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