Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model
When both human and mosquito populations vary, forward bifurcation occurs if the basic reproduction number R0 is less than one in the absence of disease-induced death. When the disease-induced death rate is large enough, R0¼1 is a subcritical backward bifurcation point. The domain for the study of the dynamics is reduced to a compact and feasible region, where the system admits a specific algebraic decomposition into infective and non-infected humans and mosquitoes. Stability results are extended and the possibility of backward bifurcation is clarified. A dynamically consistent nonstandard finite difference scheme is designed.
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Subjects: | U10 - Informatique, mathématiques et statistiques, L73 - Maladies des animaux, L72 - Organismes nuisibles des animaux, S50 - Santé humaine, modèle mathématique, modèle de simulation, contrôle de maladies, dynamique des populations, Anopheles, malaria, épidémiologie, santé publique, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_24242, http://aims.fao.org/aos/agrovoc/c_2327, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_462, http://aims.fao.org/aos/agrovoc/c_34312, http://aims.fao.org/aos/agrovoc/c_2615, http://aims.fao.org/aos/agrovoc/c_6349, http://aims.fao.org/aos/agrovoc/c_7252, |
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dig-cirad-fr-5689192024-01-28T21:21:21Z http://agritrop.cirad.fr/568919/ http://agritrop.cirad.fr/568919/ Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model. Anguelov Roumen, Dumont Yves, Lubuma Jean, Mureithi Eunice. 2013. Mathematical Population Studies, 20 (2), spec. : 101-122.https://doi.org/10.1080/08898480.2013.777240 <https://doi.org/10.1080/08898480.2013.777240> Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model Anguelov, Roumen Dumont, Yves Lubuma, Jean Mureithi, Eunice eng 2013 Mathematical Population Studies U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux L72 - Organismes nuisibles des animaux S50 - Santé humaine modèle mathématique modèle de simulation contrôle de maladies dynamique des populations Anopheles malaria épidémiologie santé publique http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_2327 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_462 http://aims.fao.org/aos/agrovoc/c_34312 http://aims.fao.org/aos/agrovoc/c_2615 http://aims.fao.org/aos/agrovoc/c_6349 Afrique du Sud http://aims.fao.org/aos/agrovoc/c_7252 When both human and mosquito populations vary, forward bifurcation occurs if the basic reproduction number R0 is less than one in the absence of disease-induced death. When the disease-induced death rate is large enough, R0¼1 is a subcritical backward bifurcation point. The domain for the study of the dynamics is reduced to a compact and feasible region, where the system admits a specific algebraic decomposition into infective and non-infected humans and mosquitoes. Stability results are extended and the possibility of backward bifurcation is clarified. A dynamically consistent nonstandard finite difference scheme is designed. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/568919/1/document_568919.pdf application/pdf Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1080/08898480.2013.777240 10.1080/08898480.2013.777240 info:eu-repo/semantics/altIdentifier/doi/10.1080/08898480.2013.777240 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1080/08898480.2013.777240 |
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U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux L72 - Organismes nuisibles des animaux S50 - Santé humaine modèle mathématique modèle de simulation contrôle de maladies dynamique des populations Anopheles malaria épidémiologie santé publique http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_2327 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_462 http://aims.fao.org/aos/agrovoc/c_34312 http://aims.fao.org/aos/agrovoc/c_2615 http://aims.fao.org/aos/agrovoc/c_6349 http://aims.fao.org/aos/agrovoc/c_7252 U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux L72 - Organismes nuisibles des animaux S50 - Santé humaine modèle mathématique modèle de simulation contrôle de maladies dynamique des populations Anopheles malaria épidémiologie santé publique http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_2327 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_462 http://aims.fao.org/aos/agrovoc/c_34312 http://aims.fao.org/aos/agrovoc/c_2615 http://aims.fao.org/aos/agrovoc/c_6349 http://aims.fao.org/aos/agrovoc/c_7252 |
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U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux L72 - Organismes nuisibles des animaux S50 - Santé humaine modèle mathématique modèle de simulation contrôle de maladies dynamique des populations Anopheles malaria épidémiologie santé publique http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_2327 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_462 http://aims.fao.org/aos/agrovoc/c_34312 http://aims.fao.org/aos/agrovoc/c_2615 http://aims.fao.org/aos/agrovoc/c_6349 http://aims.fao.org/aos/agrovoc/c_7252 U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux L72 - Organismes nuisibles des animaux S50 - Santé humaine modèle mathématique modèle de simulation contrôle de maladies dynamique des populations Anopheles malaria épidémiologie santé publique http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_2327 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_462 http://aims.fao.org/aos/agrovoc/c_34312 http://aims.fao.org/aos/agrovoc/c_2615 http://aims.fao.org/aos/agrovoc/c_6349 http://aims.fao.org/aos/agrovoc/c_7252 Anguelov, Roumen Dumont, Yves Lubuma, Jean Mureithi, Eunice Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model |
description |
When both human and mosquito populations vary, forward bifurcation occurs if the basic reproduction number R0 is less than one in the absence of disease-induced death. When the disease-induced death rate is large enough, R0¼1 is a subcritical backward bifurcation point. The domain for the study of the dynamics is reduced to a compact and feasible region, where the system admits a specific algebraic decomposition into infective and non-infected humans and mosquitoes. Stability results are extended and the possibility of backward bifurcation is clarified. A dynamically consistent nonstandard finite difference scheme is designed. |
format |
article |
topic_facet |
U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux L72 - Organismes nuisibles des animaux S50 - Santé humaine modèle mathématique modèle de simulation contrôle de maladies dynamique des populations Anopheles malaria épidémiologie santé publique http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_2327 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_462 http://aims.fao.org/aos/agrovoc/c_34312 http://aims.fao.org/aos/agrovoc/c_2615 http://aims.fao.org/aos/agrovoc/c_6349 http://aims.fao.org/aos/agrovoc/c_7252 |
author |
Anguelov, Roumen Dumont, Yves Lubuma, Jean Mureithi, Eunice |
author_facet |
Anguelov, Roumen Dumont, Yves Lubuma, Jean Mureithi, Eunice |
author_sort |
Anguelov, Roumen |
title |
Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model |
title_short |
Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model |
title_full |
Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model |
title_fullStr |
Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model |
title_full_unstemmed |
Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model |
title_sort |
stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model |
url |
http://agritrop.cirad.fr/568919/ http://agritrop.cirad.fr/568919/1/document_568919.pdf |
work_keys_str_mv |
AT anguelovroumen stabilityanalysisanddynamicspreservingnonstandardfinitedifferenceschemesforamalariamodel AT dumontyves stabilityanalysisanddynamicspreservingnonstandardfinitedifferenceschemesforamalariamodel AT lubumajean stabilityanalysisanddynamicspreservingnonstandardfinitedifferenceschemesforamalariamodel AT mureithieunice stabilityanalysisanddynamicspreservingnonstandardfinitedifferenceschemesforamalariamodel |
_version_ |
1792498445299220480 |