Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation

• Autores: Ruchi Arora, Dharmendra Kumar, Ishita Jhamb, Avina Kaur Narang
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 22, Nº. 2, 2020, págs. 177-201
• Idioma: inglés
• DOI: 10.4067/S0719-06462020000200177
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen La infección debida al virus Chikungunya (CHIKV) tiene un período de recuperación sustancialmente prolongado, que es un período largo entre la etapa de infección y recuperación. Sin embargo, hasta ahora en los modelos existentes (SIR y SEIR), este período no ha recibido suficiente atención. Por tanto, para esta enfermedad, hemos modificado el modelo SEIR existente introduciendo una nueva sección de población humana que está en la etapa de recuperación o, en otras palabras, la población humana que ya no muestra síntomas agudos pero todavía no se recupera completamente. Se formula y estudia un modelo matemático a través de la existencia y estabilidad de su equilibrio libre de enfermedad (DFE) y puntos de equilibrio endémico (EE) en términos del número de reproducción básico asociado (R0).

  • English

    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).

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