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2023 | OriginalPaper | Chapter

B-Splines Collocation Approach to Simulate Secondary Dengue Virus (DENV) Infection Model with Diffusion

Authors : Rohit Goel, R. C. Mittal, Neha Ahlawat

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

The chapter delves into the simulation of a secondary DENV infection model incorporating diffusion, using a cubic B-splines collocation method. This approach provides a robust framework for understanding the complex dynamics of dengue virus infection within host cells. The model takes into account the diffusion impacts and the activation rates of heterologous and homologous antibodies, offering a comprehensive analysis of the infection's global dynamics. The use of cubic B-splines ensures precision and continuity in the simulation, making it a significant advancement in the field of infectious disease modeling. The chapter includes numerical simulations under various strategies, highlighting the stability of infection-free and persistent DENV equilibrium points. These simulations provide valuable insights into the immune responses and the persistence of DENV infection, contributing to the broader understanding of dengue virus dynamics. The proposed method is not only reliable and economical but also offers a promising alternative for similar mathematical models in medical sciences.
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previous chapter Qualitative Analysis of Peer Influence Effects on Testing of Infectious Disease Model
next chapter Study of Heat and Mass Transfer in a Composite Nanofluid Layer
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Metadata
Title
B-Splines Collocation Approach to Simulate Secondary Dengue Virus (DENV) Infection Model with Diffusion
Authors
Rohit Goel
R. C. Mittal
Neha Ahlawat
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_16

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