Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation

Ruchi Arora; Dharmendra Kumar; Ishita Jhamb; Avina Kaur Narang

doi:10.4067/S0719-06462020000200177

DOI:

https://doi.org/10.4067/S0719-06462020000200177

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 \((R_0)\).

Keywords

Equilibrium point , disease free equilibrium , endemic equilibrium , reproduction number , local stability , global stability

Ruchi Arora Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi-110007, India.
Dharmendra Kumar Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi-110007, India.
Ishita Jhamb Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi-110007, India.
Avina Kaur Narang Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi-110007, India.

Pages: 177–201
Date Published: 2020-08-22
Vol. 22 No. 2 (2020)

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