Stability analysis for a class of discrete schistosomiasis models with general incidence

Abstract In this paper, we propose to study a class of discrete schistosomiasis models with general incidence function. This model is derived from a continuous schistosomiasis model (in Appl. Math. 4:1682-1693, 2003) by using the backward Euler discretization method with step size h = 1 $h=1$ . We v...

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Main Authors:	Aboudramane Guiro, Diène Ngom, Dramane Ouedraogo
Format:	Article
Language:	English
Published:	SpringerOpen 2017-04-01
Series:	Advances in Difference Equations
Subjects:	backward Euler method discrete schistosomiasis models globally asymptotic stability Lyapunov functional general incidence reproduction number
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1174-6

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spelling	doaj-2a205e4fd5ba4c0cb63fb8e5e48856c02020-11-25T00:40:02ZengSpringerOpenAdvances in Difference Equations1687-18472017-04-012017111610.1186/s13662-017-1174-6Stability analysis for a class of discrete schistosomiasis models with general incidenceAboudramane Guiro0Diène Ngom1Dramane Ouedraogo2Département de Mathématiques, UFR des Sciences et TechniquesUMI 2019-IRD & UMMUSCO-UGB, Université Assane Seck de ZiguinchorDépartement de Mathématiques, UFR des Sciences et TechniquesAbstract In this paper, we propose to study a class of discrete schistosomiasis models with general incidence function. This model is derived from a continuous schistosomiasis model (in Appl. Math. 4:1682-1693, 2003) by using the backward Euler discretization method with step size h = 1 $h=1$ . We visit some basic properties of this discrete model and we study the stabilities of the equilibria by constructing some appropriate Lyapunov functional for the endemic equilibrium.http://link.springer.com/article/10.1186/s13662-017-1174-6backward Euler methoddiscrete schistosomiasis modelsglobally asymptotic stabilityLyapunov functionalgeneral incidencereproduction number
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Aboudramane Guiro Diène Ngom Dramane Ouedraogo
spellingShingle	Aboudramane Guiro Diène Ngom Dramane Ouedraogo Stability analysis for a class of discrete schistosomiasis models with general incidence Advances in Difference Equations backward Euler method discrete schistosomiasis models globally asymptotic stability Lyapunov functional general incidence reproduction number
author_facet	Aboudramane Guiro Diène Ngom Dramane Ouedraogo
author_sort	Aboudramane Guiro
title	Stability analysis for a class of discrete schistosomiasis models with general incidence
title_short	Stability analysis for a class of discrete schistosomiasis models with general incidence
title_full	Stability analysis for a class of discrete schistosomiasis models with general incidence
title_fullStr	Stability analysis for a class of discrete schistosomiasis models with general incidence
title_full_unstemmed	Stability analysis for a class of discrete schistosomiasis models with general incidence
title_sort	stability analysis for a class of discrete schistosomiasis models with general incidence
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2017-04-01
description	Abstract In this paper, we propose to study a class of discrete schistosomiasis models with general incidence function. This model is derived from a continuous schistosomiasis model (in Appl. Math. 4:1682-1693, 2003) by using the backward Euler discretization method with step size h = 1 $h=1$ . We visit some basic properties of this discrete model and we study the stabilities of the equilibria by constructing some appropriate Lyapunov functional for the endemic equilibrium.
topic	backward Euler method discrete schistosomiasis models globally asymptotic stability Lyapunov functional general incidence reproduction number
url	http://link.springer.com/article/10.1186/s13662-017-1174-6
work_keys_str_mv	AT aboudramaneguiro stabilityanalysisforaclassofdiscreteschistosomiasismodelswithgeneralincidence AT dienengom stabilityanalysisforaclassofdiscreteschistosomiasismodelswithgeneralincidence AT dramaneouedraogo stabilityanalysisforaclassofdiscreteschistosomiasismodelswithgeneralincidence
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Stability analysis for a class of discrete schistosomiasis models with general incidence

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