Coexistence and stability of solutions for a class of reaction-diffusion systems

In this paper we consider the situation of two species of predators competing for one species of prey. We use comparison principles to study the global existence, the existence of non-trivial steady states and their stability.

Bibliographic Details
Main Author:	Zhenbu Zhang
Format:	Article
Language:	English
Published:	Texas State University 2005-12-01
Series:	Electronic Journal of Differential Equations
Subjects:	Coexistence stability reaction-diffusion eigenvalue problem.
Online Access:	http://ejde.math.txstate.edu/Volumes/2005/137/abstr.html

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spelling	doaj-6e76923818e14608bf6b77352b2038fd2020-11-24T23:29:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-12-012005137116Coexistence and stability of solutions for a class of reaction-diffusion systemsZhenbu ZhangIn this paper we consider the situation of two species of predators competing for one species of prey. We use comparison principles to study the global existence, the existence of non-trivial steady states and their stability.http://ejde.math.txstate.edu/Volumes/2005/137/abstr.htmlCoexistencestabilityreaction-diffusioneigenvalue problem.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhenbu Zhang
spellingShingle	Zhenbu Zhang Coexistence and stability of solutions for a class of reaction-diffusion systems Electronic Journal of Differential Equations Coexistence stability reaction-diffusion eigenvalue problem.
author_facet	Zhenbu Zhang
author_sort	Zhenbu Zhang
title	Coexistence and stability of solutions for a class of reaction-diffusion systems
title_short	Coexistence and stability of solutions for a class of reaction-diffusion systems
title_full	Coexistence and stability of solutions for a class of reaction-diffusion systems
title_fullStr	Coexistence and stability of solutions for a class of reaction-diffusion systems
title_full_unstemmed	Coexistence and stability of solutions for a class of reaction-diffusion systems
title_sort	coexistence and stability of solutions for a class of reaction-diffusion systems
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2005-12-01
description	In this paper we consider the situation of two species of predators competing for one species of prey. We use comparison principles to study the global existence, the existence of non-trivial steady states and their stability.
topic	Coexistence stability reaction-diffusion eigenvalue problem.
url	http://ejde.math.txstate.edu/Volumes/2005/137/abstr.html
work_keys_str_mv	AT zhenbuzhang coexistenceandstabilityofsolutionsforaclassofreactiondiffusionsystems
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Coexistence and stability of solutions for a class of reaction-diffusion systems

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