Application of Optimal Control to Influenza Pneumonia Coinfection with Antiviral Resistance

Joint Authors

Luboobi, Livingstone
Kimathi, Mark
Kanyiri, Caroline W.

Source

Computational and Mathematical Methods in Medicine

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-03-11

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Medicine

Abstract EN

Influenza and pneumonia independently lead to high morbidity and mortality annually among the human population globally; however, a glaring fact is that influenza pneumonia coinfection is more vicious and it is a threat to public health.

Emergence of antiviral resistance is a major impediment in the control of the coinfection.

In this paper, a deterministic mathematical model illustrating the transmission dynamics of influenza pneumonia coinfection is formulated having incorporated antiviral resistance.

Optimal control theory is then applied to investigate optimal strategies for controlling the coinfection using prevalence reduction and treatment as the system control variables.

Pontryagin’s maximum principle is used to characterize the optimal control.

The derived optimality system is solved numerically using the Runge–Kutta-based forward-backward sweep method.

Simulation results reveal that implementation of prevention measures is sufficient to eradicate influenza pneumonia coinfection from a given population.

The prevention measures could be social distancing, vaccination, curbing mutation and reassortment, and curbing interspecies movement of the influenza virus.

American Psychological Association (APA)

Kanyiri, Caroline W.& Luboobi, Livingstone& Kimathi, Mark. 2020. Application of Optimal Control to Influenza Pneumonia Coinfection with Antiviral Resistance. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139501

Modern Language Association (MLA)

Kanyiri, Caroline W.…[et al.]. Application of Optimal Control to Influenza Pneumonia Coinfection with Antiviral Resistance. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139501

American Medical Association (AMA)

Kanyiri, Caroline W.& Luboobi, Livingstone& Kimathi, Mark. Application of Optimal Control to Influenza Pneumonia Coinfection with Antiviral Resistance. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139501

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1139501