Application of the Homotopy Perturbation Method for Analysing the Spread of the Nipah Virus

In this article, we have analyzed the mathematical model of the non-linear differential equation of the Nipah virus (NiV).It was developed by Jakia Sultana et al. to investigate the optimal control of the virus.The transmission dynamics of the Nipah virus were analyzed both qualitatively and numerically. Method:We examined the values of the variation in parameters to investigate the impact of the controls on the spread of the disease.The birth rate, mortality rate, contact rate (), and NiV-induced death rates () are discussed.Results: Through the numerical and graphical results, we have discussed optimal control, which helps to significantly reduce the impact of the disease.A significant agreement is produced when approximate analytical results are compared to numerical simulations. Conclusion:The study highlights the effectiveness of optimal control strategies in mitigating the spread of the Nipah virus.

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Publication Details

Journal
JOURNAL OF COMMUNICABLE DISEASES
Published
2024-12-31
DOI
https://doi.org/10.24321/0019.5138.202489
Primary Topic
Virology and Viral Diseases
Type
article
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article

Application of the Homotopy Perturbation Method for Analysing the Spread of the Nipah Virus

Balaganesan Palanivelu
JOURNAL OF COMMUNICABLE DISEASES
Virology and Viral Diseases
article

Application of the Homotopy Perturbation Method for Analysing the Spread of the Nipah Virus

Balaganesan Palanivelu
article en

Abstract

In this article, we have analyzed the mathematical model of the non-linear differential equation of the Nipah virus (NiV).It was developed by Jakia Sultana et al. to investigate the optimal control of the virus.The transmission dynamics of the Nipah virus were analyzed both qualitatively and numerically. Method:We examined the values of the variation in parameters to investigate the impact of the controls on the spread of the disease.The birth rate, mortality rate, contact rate (), and NiV-induced death rates () are discussed.Results: Through the numerical and graphical results, we have discussed optimal control, which helps to significantly reduce the impact of the disease.A significant agreement is produced when approximate analytical results are compared to numerical simulations. Conclusion:The study highlights the effectiveness of optimal control strategies in mitigating the spread of the Nipah virus.

JOURNAL OF COMMUNICABLE DISEASESVol. 56(04)
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Virology and Viral Diseases
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Application of the Homotopy Perturbation Method for Analysing the Spread of the Nipah Virus — Balaganesan Palanivelu · JOURNAL OF COMMUNICABLE DISEASES (2024) | TGRS Research Map | TGRS