Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay

Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay

An open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution to tend to the positive steady-state solution of the systems of nonlinear Volterra difference equations of population models with diffusion and infinite delays by usin...

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Main Author: B. Shi
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171200001010
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spelling doaj-d768ea570d8e4237bc85bbc85a71a05c2020-11-24T23:04:56ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123426127010.1155/S0161171200001010Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delayB. Shi0Department of Basic Sciences, Naval Aeronautical Engineering Academy, Shandong, Yantai 264001, ChinaAn open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution to tend to the positive steady-state solution of the systems of nonlinear Volterra difference equations of population models with diffusion and infinite delays by using the method of lower and upper solutions and monotone iterative techniques.http://dx.doi.org/10.1155/S0161171200001010
collection DOAJ
language English
format Article
sources DOAJ
author B. Shi
spellingShingle B. Shi
Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
International Journal of Mathematics and Mathematical Sciences
author_facet B. Shi
author_sort B. Shi
title Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
title_short Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
title_full Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
title_fullStr Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
title_full_unstemmed Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
title_sort stability of the positive steady-state solutions of systems of nonlinear volterra difference equations of population models with diffusion and infinite delay
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2000-01-01
description An open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution to tend to the positive steady-state solution of the systems of nonlinear Volterra difference equations of population models with diffusion and infinite delays by using the method of lower and upper solutions and monotone iterative techniques.
url http://dx.doi.org/10.1155/S0161171200001010
work_keys_str_mv AT bshi stabilityofthepositivesteadystatesolutionsofsystemsofnonlinearvolterradifferenceequationsofpopulationmodelswithdiffusionandinfinitedelay
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