Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation

Abstract Infection due to Chikungunya virus (CHIKV) has a substantially prolonged recuperation period that is a long period between the stage of infection and recovery. However, so far in the existing models (SIR and SEIR), this period has not been given due attention. Hence for this disease, we hav...

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Autores principales:	Arora,Ruchi, Kumar,Dharmendra, Jhamb,Ishita, Narang,Avina Kaur
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:	Equilibrium point disease free equilibrium endemic equilibrium reproduction number local stability global stability
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200177
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spelling	oai:scielo:S0719-064620200002001772020-09-01Mathematical Modeling of Chikungunya Dynamics: Stability and SimulationArora,RuchiKumar,DharmendraJhamb,IshitaNarang,Avina Kaur Equilibrium point disease free equilibrium endemic equilibrium reproduction number local stability global stability Abstract Infection due to Chikungunya virus (CHIKV) has a substantially prolonged recuperation period that is a long period between the stage of infection and recovery. However, so far in the existing models (SIR and SEIR), this period has not been given due attention. Hence for this disease, we have modified the existing SEIR model by introducing a new section of human population which is in the recuperation stage or in other words the human population that is no more showing acute symptoms but is yet to attain complete recovery. A mathematical model is formulated and studied by means of existence and stability of its disease free equilibrium (DFE) and endemic equilibrium (EE) points in terms of the associated basic reproduction number (R0).info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.22 n.2 20202020-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200177en10.4067/S0719-06462020000200177
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Equilibrium point disease free equilibrium endemic equilibrium reproduction number local stability global stability
spellingShingle	Equilibrium point disease free equilibrium endemic equilibrium reproduction number local stability global stability Arora,Ruchi Kumar,Dharmendra Jhamb,Ishita Narang,Avina Kaur Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation
description	Abstract Infection due to Chikungunya virus (CHIKV) has a substantially prolonged recuperation period that is a long period between the stage of infection and recovery. However, so far in the existing models (SIR and SEIR), this period has not been given due attention. Hence for this disease, we have modified the existing SEIR model by introducing a new section of human population which is in the recuperation stage or in other words the human population that is no more showing acute symptoms but is yet to attain complete recovery. A mathematical model is formulated and studied by means of existence and stability of its disease free equilibrium (DFE) and endemic equilibrium (EE) points in terms of the associated basic reproduction number (R0).
author	Arora,Ruchi Kumar,Dharmendra Jhamb,Ishita Narang,Avina Kaur
author_facet	Arora,Ruchi Kumar,Dharmendra Jhamb,Ishita Narang,Avina Kaur
author_sort	Arora,Ruchi
title	Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation
title_short	Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation
title_full	Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation
title_fullStr	Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation
title_full_unstemmed	Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation
title_sort	mathematical modeling of chikungunya dynamics: stability and simulation
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200177
work_keys_str_mv	AT aroraruchi mathematicalmodelingofchikungunyadynamicsstabilityandsimulation AT kumardharmendra mathematicalmodelingofchikungunyadynamicsstabilityandsimulation AT jhambishita mathematicalmodelingofchikungunyadynamicsstabilityandsimulation AT narangavinakaur mathematicalmodelingofchikungunyadynamicsstabilityandsimulation
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Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation

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