Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host)

Pavithra Sivasamy, Vanthana Ramesh Kumar

Abstract


A mathematical model is investigated to analyze the biological interactions
between the immune system and SARS-CoV (within host).
Homotopy Perturbation Method is executed to obtain an analytical
solution to the non-linear system of ordinary differential equations.
Graphical illustration to these solutions is also presented. The reliability
and the simplicity of the aforementioned method is studied
through the comparison between the numerical and graphical results.
This comparison aids the better understanding of the disease dynamics
and also the establishment of probable strategies for the treatment
of COVID-19.


Keywords


Mathematical Modeling, COVID-19, Non -linear initial value problem, Homotopy Perturbation Method.

Full Text:

PDF

References


Q. Nie, X. Li,W. Chen, D. Liu, Y. Chen, H. Li, D. Li, M. Tian,W. Tan, and J. Zai.

Phylogenetic and phylodynamic analyses of sars-cov-2. Virus research, 287:

, 2020.

H. Ouassou, L. Kharchoufa, M. Bouhrim, N. E. Daoudi, H. Imtara, N. Bencheikh,

A. ELbouzidi, and M. Bnouham. The pathogenesis of coronavirus disease 2019

(covid-19): evaluation and prevention. Journal of immunology research, 2020,

M. Rafei and D. Ganji. Explicit solutions of helmholtz equation and fifth-order

kdv equation using homotopy perturbation method. International Journal of

Nonlinear Sciences and Numerical Simulation, 7(3):321–328, 2006.

N. Ramadan and H. Shaib. Middle east respiratory syndrome coronavirus (merscov):

A review. Germs, 9(1):35, 2019.

A. Sharma, S. Tiwari, M. K. Deb, and J. L. Marty. Severe acute respiratory syndrome

coronavirus-2 (sars-cov-2): a global pandemic and treatment strategies.

International journal of antimicrobial agents, 56(2):106054, 2020.

P. Sivasamy and V. Kumar. Approximate analytical solution of relapsing remitting

multiple sclerosis using homotopy perturbation method. NVEO- NATURAL

VOLATILES AND ESSENTIAL OILS journal -NVEO, pages 2613–2624, 2021.

S. Wang, Y. Pan, Q. Wang, H. Miao, A. N. Brown, and L. Rong. Modeling the

viral dynamics of sars-cov-2 infection. Mathematical biosciences, 328:108438,

A. Yildirim and T. O¨ zis¸. Solutions of singular ivps of lane–emden type by homotopy

perturbation method. Physics Letters A, 369(1-2):70–76, 2007.




DOI: http://dx.doi.org/10.23755/rm.v46i0.1074

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Pavithra Sivasamy, Vanthana Ramesh Kumar

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.