Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation

Autor: Ruchi Arora, Dharmendra Kumar, Ishita Jhamb, Avina Kaur Narang
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Cubo, Vol 22, Iss 2, Pp 177-201 (2020)
Druh dokumentu: article
ISSN: 0719-0646
0716-7776
DOI: 10.4067/S0719-06462020000200177
Popis: 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 $(R_0)$.
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